Add a distribution for the wall diaphragm and enter 60 for the number of elements. This button displays the currently selected search type. Linear Extrusion - COMSOL Multiphysics First add a size node to make sure the mesh is finer. Take a look at the figure below. I am trying to implement the Periodic Boundary condition in a 3D model by following your post but I have some questions. In this example, one expression is sufficient enough to uniquely relate any destination point in the square domain to a source point on the parabolic curve. Note that the source map needs to be one-to-one for the inverse to exist. General Extrusions, Inc. continues its tradition as a leading manufacturer of aluminum extrusions where quality always comes first. In this instance, that relationship is given by. As the excavation deepens, three struts are activated using a ramp function, and boolean expressions. So lets revisit the Advanced settings and switch back Mesh search method to Use Tolerance the defaults is 0.3 which we have seen to fail in this case we have to search across a 0.1m gap, and we have meshed with 0.2m mesh-elements, thus we need, tol=search_distance/element_size=0.1[m]/0.2[m]=0.5. The velocity field is given by u and v, the fluid velocity in the x and y-directions, respectively. The General Extrusion operator maps expressions defined on a source to an expression that can be evaluated on any destination geometry where the destination map expressions are valid. An initial stress is added to the model as well to simulate the in-situ stresses in the x, y, and z directions. Both source and destination are two-dimensional, as well as the intermediate mesh (srcdim = idim = dstdim). Several cases are illustrated in the table below. All selected faces must lie in the same plane. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. listed if standards is not an option). I tried to use your method but I failed. Today, we will discuss General Extrusion operators, which are designed to handle nonlinear mappings and the mapping of variables between geometric entities of different dimensions. Using General Extrusion Operators to Model Periodic Structures - COMSOL Today, we have discussed how to use General Extrusion operators to create mappings for copying variables from one part of a simulation domain to another. This applies a varying species concentration over the inlet boundary. An Outlet boundary condition is applied at the other end. The General Extrusion operator maps expressions defined on a source to an expression that can be evaluated on any destination geometry where the destination map expressions are valid. With a voltage terminal at the bottom of the device and ground at the top of the device, the following results are obtained. I will always remember a Geotechnical Engineering class I took during the pursuit of my Civil Engineering degree. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. This gap means that we cannot connect them via pair-based continuity conditions and we then resort to the General Extrusion coupling to connect the ~2000 disjoint boundaries however with the default settings it fails to find suitable source points across the large gaps one solution is then to go to Advancedand switch the Mesh search method to Closest point- this works, but with one notable drawback: Solution time for our 3M DOF model is now 2233s the factor of 26 in solution time relative to the model without couplings can be costly, if we are to use our model in any kind of auxiliary-/parametric sweep or optimization loop. General Extrusion Variable - comsol.it With the General Extrusion operator defined, we can now use it throughout the model. Using General Extrusion Operators to Model Periodic Structures - COMSOL Similar to the first two, for the third strut, add the third strut boundary and change stage 2 to stage 3. Is it possible to "paste" two functions in COMSOL? Now we can add the boundary constraints, including a symmetry on the left, a fixed constraint for the bottom boundary, and a roller for the right boundaries. A retaining wall is used to hold back soil from a region you dont want it to move to, such as a lower level of the ground. A general extrusion operator can be evaluated at any point where the destination map expressions are defined. Extrusion operators help us construct normal current density boundary conditions on each side of the ideal p-n junction. How much easier it could have been had we only known about geomechanics simulation software. Posted 15 feb 2011, 16:18 UTC It also provides design assistance and engineering support. The electric potential on one side of the gap is accessed from the other side by using an extrusion operator in order to compute the current density flowing across the gap. The source domain(s) can be the domain(s) on which the destination point(s) are defined. The plot below shows the temperature evaluated at the focal point of the moving laser: Posted 15 feb 2011, 11:18 GMT-5 Version 4.1 3 Replies . Finite element model of the micro electrode array has been. Welcome to General Extrusions Inc. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. Enter the expression for the general extrusion operator from earlier. Digging into COMSOL's Geomechanics Module | COMSOL Blog The General Extrusion operator will map data from the boundary into the volume, along the z direction, as shown in the following screenshots. I have only one small question, if you dont mind, you could maybe write the expressions of the variable disp. It is also possible to define the mapping in terms of coordinate systems. They are not necessarily pertaining to the x or y coordinates in the source or destination. General Extrusions makes simple and intricate aluminum shapes through both long and short production runs. This graph shows the wall deflection or horizontal displacement as a function of depth for different excavation steps. There are two ways to model an excavation in COMSOL Multiphysics, both of which include a parametric sweep. Sample data defined on the xy-plane, centered at the origin. I wonder when will you post about Mapping Cross-Sectional Data? Segregated approach and Direct vs. Iterative linear solvers The number of destination map expressions is the same as the space dimension of the intermediate mesh. Considering a variable defined on the xy-plane within a unit square centered at the origin, as shown above, it is possible to implement a variety of transforms simply via different destination maps, and leaving the source map unchanged. To see how this General Extrusion operator maps variables, consider a plane stationary heat conduction problem with the left and right edges at temperatures of 300 K and 400 K, respectively. Extrusion operators can be used to make couplings between points in the same component or different components. The General Extrusion operator will map data from the boundary into the volume, along the z direction, as shown in the following screenshots. The General Extrusion operator maps expressions defined on a source to an expression that can be evaluated on any destination geometry where the destination map expressions are valid. A pressure constraint at a single point is used to gauge fix the pressure field. Settings used to map data from a boundary parallel to the xy-plane along the z direction. Click plot to view the displacement at the different excavation depths. This time in the x direction and using the second general extrusion operator in the u0 field. The company's manufacturing operations, which include a Youngstown, Ohio plant, comprise 220,000 square feet. However, in general, we need to write the mathematical expression for the mapping. In this blog post, we will take a look at how to use the General Extrusion coupling operator to probe a solution at a point in your geometry, and illustrate how to implement a dynamic probe using an example model. All our employees have been thoroughly trained in Statistical Process Control (SPC), assuring our customers of cost-effective production from extrusion to finishing. The plot below shows the graph for temperature evaluated at a point located 0.5 inches from the center of the rotating disk: Then the naming and differentiation between time and spatial variables is basically a convention issue, the math behind does not really change To implement, define a General Extrusion operator on a boundary parallel to the xy-plane, with the z-expression blank for both the Source Map and a Destination Map. The General Extrusionoperator maps expressions defined on a source to an expression that can be evaluated on any destination geometry where the destination map expressions are valid. Extrusion Model Coupling Operator takes a local concentration as an argument at the following boundary and evaluates it at the corresponding point at the leading boundary. Create a second line graph, showing the surface settlement, or vertical displacement, as a function of the distance from the wall. I defined a general extrusion operator, then defined variables such as T_sf = genext1(comp1.T), Y_sf = genext1(Y) and so. I apologize of my explanation sounds vague or ambiguous. listed if standards is not an option). so we choose 0.6 to be on the safe side. extrusion coupling error - COMSOL Ivar. Using the General Extrusion Coupling Operator in COMSOL: Dynamic Probe Stay tuned! You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version Once a strut is activated, it will generate a force proportional to the struts stiffness and the horizontal displacement. Submit feedback about this page or contact support here. Why Do Road and Mountain Bikes Have Different Spoke Patterns? For . indeed I do not believe I really understand what you intend to do. Next, let's take a look at the settings of the . Now we will use the operators in the physics nodes to implement the boundary conditions. One application of a General Extrusioncoupling is to mirror the solution on the x-axis. COMSOL Multiphysics will take care of T_s^{-1}(T_d(x_d,y_d)), a necessary step in identifying the source coordinates. The working fluid is water with properties defined at room temperature and pressure. To add a General Extrusion operator, we go to Definitions > Component Couplings > General Extrusion. Note that the operator name is kept to its default: genext1. Only the data in the z-expression is mapped. The companys manufacturing operations, which include a Youngstown, Ohio plant, comprise 220,000 square feet. Note that while COMSOL employees may participate in the discussion forum, COMSOL software users who are on-subscription should submit their questions via the Support Center for a more comprehensive response from the Technical Support team. Settings used to map data from a boundary parallel to the xy-plane along the z direction. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this data along the z direction. I have an equation involving u(x,y), but instead of using a stationary solver I reformulate the equation as something like u(x,t), where the variable y plays a similar role as t, and hence solvable using the time dependent solver in 1D model. Sometimes, we may want to access an integral, average, maximum, or minimum over a source line, surface, or volume. The focus of this blog post is on the transformation T : x_d \rightarrow x_s.. COMSOL Multiphysics offers two coupling operators to specify this mapping: Linear Extrusion operators and General Extrusion operators. Extruding Data Along a Direction Extrude - COMSOL Multiphysics I would appreciate any help. How to couple two components comp1 and comp2 with the - ResearchGate It is also possible to define the mapping in terms of coordinate systems. Is it possible to do this within GUI, or do i have to do it via MATLAB? To map the solution from one domain into the other domains that are offset by a known displacement along the x-axis, the destination map uses the expression x-Disp for the x-expression. How to Extrude, Revolve, and Sweep 2D Geometries in COMSOL - YouTube In the 4.0a interface i do not know where to define the variable Va ( source) and its expression (V). Thanks for replying. Schematic of a microfluidic mixer that depicts the repeated unit cell and the inlet and outlet zones. Now that we have the solution on one unit cell, we can use the General Extrusion component coupling to map the solution from this one unit cell onto the repeated domains. The Linear Extrusion operator defines a linear extrusion that maps between geometric parts of the same dimension. General Extrusion coupling operator settings. In an upcoming blog post, we will walk you through how to use the operator to map cross-sectional data from one or several cross sections onto another cross section for geometries where the cross section dimensions do not change over the length of interest. at an interface. Hi But finally COMSOL basics is a PDE solver tool for a given subset of useful functions, of the type used for common physics (that fits in the global or coefficient form. unfortunately, I get the following error. Note that a Linear Extrusion operator cannot be used here. The geometry has been previously created for this model, but all the steps are outlined in the model file to build the upper and lower layers of the soil, as well as the retaining wall and three embedded struts. The relationship between the source and destination points is therefore, If we want an explicit source-destination mapping of the form. Clear the selection and add the middle strut, then change the expression from stage 1 to stage 2 to activate it only when the depth moves below the second strut. Modeling an Excavation in COMSOL. Linear Extrusion operators are easier to build, but their utility is limited to affine transformations.General Extrusion operators are more general but take more work to define. The General Extrusion operator is used to define the velocity field in all three periodic domains. Nonlocal Couplings and Coupling Operators - COMSOL Multiphysics this defines if you should us a linear or general Extrusion or Projection This variable should only exist on the . Mapping of data between different components in the model to perform submodeling, Mapping between components to extract results on different geometries. Now you know how to use the General Extrusion coupling operator to probe a solution at a moving point. Take a look at the figure below. Lets begin by looking at a microfluidic device, as shown below. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version But no possibility to define variables. General Extrusions specializes in providing secondary fabrication operations to transition an aluminum extrusion to a finished component. In other words, the operators define the point-to-point map. How to use the General Extrusion coupling operator to probe a solution at a moving point http://comsol.com/c/10mb Here is an interesting question: How can we easily probe the solution at a point that is moving in time, but associated with a stationary geometry?. How did you select the source in the general extrusion settings? Where might you use it in your multiphysics modeling? It can be used for a variety of different purposes, examples of which are presented here. 3M dof and can be solved in 86s, when no gaps are present and we can rely on a conforming mesh). We want a depth ranging from 0 to -26 meters with a step size of two meters. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version I guess your problem is that there is no recalculation after defining genext1, and this error will not be prompted after the calculation. The second boundary load is added for the vertical retaining wall boundaries. First a mapped mesh for the retaining wall domain. The temperature will vary linearly with x. It can be used for a variety of different purposes, examples of which are presented here. Variable: comp1.Disp. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version One option involves a sweep of the geometry, removing the geometry (excavation) one step at a time. I am trying to use the same for droplet evaporation. The species concentration (shown in color) is solved in all three repeating domains. This works and solution time is reduced to 118s so much more in line with the case without gaps! This approach, as explained earlier, is limited to cases in which the source and destination are related by affine transformations. http://www.comsol.com/model/laser-heating-of-a-silicon-wafer-13835, Multiscale Modeling in High-Frequency Electromagnetics. Right: Temperature mapped from the parabola to the domain. Also, are there other approaches to do this? To implement, define a General Extrusion operator on a boundary parallel to the xy-plane, with the z-expression blank for both the Source Map and a Destination Map. As you can see, they are in the same location but are different boundaries. We want an operator that will copy from a point on the parabola to a point in the square, such that the distance of the destination point from the origin is equal to the length of the segment of the parabola between the origin and the source point. Since there is no displacement in the y-direction, the y-expression is set at its default y. Therefore, we can greatly reduce our model by solving only for the fluid flow within one unit cell and patterning this flow solution throughout the modeling domain for the convection-diffusion problem. The incident heat flux from the laser is modeled as spatially varying, with time varying coordinates for the location of the incident heat flux. En fournissant votre adresse email, vous acceptez de recevoir des emails de COMSOL AB et de ses filiales propos du Blog COMSOL, et acceptez que COMSOL traite vos informations conformment sa Politique de confidentialit. Once the model has finished computing we can add some post processing to better view the results. It can be used for a variety of different purposes, examples of which are presented here. Add depth as the continuation parameter, and click the range button. Mapping of data defined on a cross section (left) around an axis of symmetry and into a volume (right). There are some models. Submit feedback about this page or contact support here. General Extrusions, Inc. can provide complete aluminum extrusion components including your finish requirements. Thus, every point in the original domain is mapped along the positive x-direction by the specified displacement. Tutti i diritti sono riservati. Good luck Consider thermal expansion with axisymmetric thermal boundary conditions and material properties. To begin, lets focus on how to replicate a Linear Extrusion operator with a General Extrusion operator. Good luck The same transforms can be implemented in three dimensions. This is why i need to convert u(x,t) back to its original form, u(x,y). If you have already computed the solution to the finite element problem, then you can simply evaluate temperature at the destination points by clicking on the update solution option in the Study toolbar, or you can dynamically probe the variable genext1(T) evaluated at a point while you compute the solution to the finite element problem. At the outlet, we want the species to be well mixed. Note that for axisymmetric components, variables can be viewed in 3D with a Revolution 2D data set in the Results node. In practice, COMSOL Multiphysics does not construct an analytic expression for the inverse of the source map. Rename this one Strut_2. Settings for the General Extrusion operator defined on the stator boundary. listed if standards is not an option). The variable Disp is individually defined within each of the three domains, as shown in the figure below. In such cases, we can use projection, integration, average, maximum, or minimum component couplings. Submit feedback about this page or contact support here. Therefore we want stress in the y-direction. L(x,y) = \int_{o}^{x}\sqrt{1+(y\prime)^2}d\tau = \frac{x}{2}\sqrt{1+4(\frac{x}{d})^2}+\frac{d}{4}\ln(2\frac{x}{d}+\sqrt{1+4(\frac{x}{d})^2}). Then the naming and differentiation between time and spatial variables is . Your internet explorer is in compatibility mode and may not be displaying the website correctly. I didn't mean to do integration, what i meant is something like: Thanks for replying. If excavating close to a retaining wall, youre subjecting it to additional forces it was not originally designed for, and it may require subsequent support. The corresponding normal current density for the Normal Current Density 2 node applied to edge 3 is -Js*(exp((V-genext1(V))/kTbyq)-1). They appear in the Input faces list. For this example, we will be modeling in 2D plane strain, using the solid mechanics interface and a stationary study. For questions related to your modeling, please contact our Support team. Name: genext1 In this example, since the x, y, and z-coordinates of the destination map are explicitly specified without any association with the coordinates of a geometric entity, it doesnt matter where we evaluate the General Extrusion coupling operator. I deplore the glaring oversight of COMSOL: Considering how frequently one encounters problems that include a combination of Rotationally-Symmetric and Cartesian components, that COMSOL has not seen fit to provide a specific operator for this case! Because the source entities are different, two operators are needed. Your internet explorer is in compatibility mode and may not be displaying the website correctly. Sample data defined on the xy-plane, centered at the origin. We need to provide T_d and T_s, such that. For the final part of the physics set up, we are going to add five boundary loads to the model. This applies a varying species concentration over the inlet boundary. Your internet explorer is in compatibility mode and may not be displaying the website correctly. This problem can be solved by using a General Extrusion coupling operator to dynamically map the solution at a particular point (moving or stationary) onto a fixed source. To add a General Extrusion operator, we go to Definitions > Component Couplings > General Extrusion. Your internet explorer is in compatibility mode and may not be displaying the website correctly. General Extrusions, Inc. produces aluminum extrusions in compliance with RoHS (Restriction of Hazardous Substances) requirements. Second, I used the defined the Variable Disp three times as in the images above but with different values (with increments in the periodic direction specified) while the destination map setting had as input z-Disp as suggested above but I got the error Error in multiphysics compilation. Duplicate parameter/variable name. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this data along the z direction. We can simply enter the time varying coordinates in the x, y, and z-expressions of the destination map. This problem can be solved by using a General Extrusion coupling operator to dynamically map the solution at a particular point (moving or stationary) onto a fixed source. The two circles in the geometry have centers at the origin and radii of 1.0 and 1.5. We have discussed how the General Extrusion component coupling can be used to set up a linear pattern of a periodic solution as part of a multiphysics analysis. We can then consider examples in which the General Extrusion operator must be used. Please can you explain what I am doing wrong? BLOG Using the General Extrusion Coupling Operator in COMSOL: Dynamic Probe BLOG Accessing Nonlocal Variables with Linear Extrusion Operators KNOWLEDGE BASE Understanding the Fully Coupled vs. To apply what we have learned thus far, lets now build a diode model using the Electric Currents physics interface in COMSOL Multiphysics. For meshing the model, sometimes an automatic mesh is sufficient, but we want to make our own for this model to improve convergence on the soil-wall boundary. Using a General Extrusion operator to refer to the electric potential at a point on the other side of the junction. Online Support Center: https://www.comsol.com/support All you need are the time-dependent coordinates of the point where you would like to evaluate the temperature. Now, if desired, it is possible to model the entire device shown above. A typical microfluidic device. Alle Rechte vorbehalten. Here, V refers to the electric potential at a point on the bottom side, while genext1(V) refers to the electric potential vertically on the top side. Mapping of data defined on a boundary (left) along the direction normal to the plane and into a volume (right). Within their design, a common goal is to achieve optimal mixing within a small surface area, hence the serpentine channel. These are the parameters we will be using later on, which represent in-situ stresses, properties of the metal struts, excavation steps, along with a couple other related parameters. The General Extrusion operator is used to define the velocity field in all three periodic domains. This moving load is then transformed into the rotating coordinate system via the General . The flow solution on this unit cell is also plotted, as shown below. It can be used for a variety of different purposes, examples of which are presented here. The final project, on the other hand, tasked us with designing a retaining wall to match certain specifications a tough and lengthy assignment. Gaining Understanding of Complex Phenomena with Virtual Laboratories, The Graphics Window: Effective and Beautiful Postprocessing, How to Use Maximum Likelihood for Parameter Estimation in COMSOL, Thank you for your Blog. A linear mapping built using a General Extrusion operator. Part 2: Mapping Variables with General Extrusion Operators - COMSOL The ramp location is set to be -U_max.
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