Within their design, a common goal is to achieve optimal mixing within a small surface area, hence the serpentine channel. Mapping of data defined on a boundary (left) along the direction normal to the plane and into a volume (right). Check out our Deep Excavation Model for more information. Extruding Data Along a Direction. Now we will create a 1D plot and a line graph, with the wall diaphragm as the selection. The periodic modeling domain and the fluid flow solution. It can be used for a variety of different purposes, examples of which are presented here. An Outlet boundary condition is applied at the other end. 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. Therefore, we have, Now we need to find the constants a,b,c,d,e, and f. Since source points (0, 0); (1.0, 0); and (0, 1.0) correspond respectively to destination points at (0, 0); (1.5, 0); and (0, 1.5), we get. It can be done in one model if just the physics are changing. Examples of the General Extrusion Operator - COMSOL Multiphysics Good luck However, in general, we need to write the mathematical expression for the mapping. Also, are there other approaches to do this? I tried to use your method but I failed. COMSOL Multiphysics includes built-in features pertaining to such physical effects. Extrude - COMSOL Multiphysics The same transforms can be implemented in three dimensions. Mapping of data between different components in the model to perform submodeling, Mapping between components to extract results on different geometries. The Copy Domain mesh feature can copy the mesh exactly, thereby avoiding any interpolation of the flow solution between meshes. Hi, Ivar. Click plot to view the displacement at the different excavation depths. Note: This discussion is about an older version of the COMSOLMultiphysics software. The Micromixer tutorial, available in our Application Gallery, is an example of such a model. Lets consider a point on the disk at a distance of 0.5 inches from the center of the disk located at (0,0). 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. When it comes to general nonlinear mappings, General Extrusion operators are necessary. Extrusion operators are used to construct pointwise relations between source and destination points. 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. It is also possible to define the mapping in terms of coordinate systems. Select the faces that you want to extrude in the Graphics window. Mapping of data between different components in the model to perform submodeling, Mapping between components to extract results on different geometries. The last step before computing the model is defining a range of depth parameters for the parametric sweep. Schematic diagram of COMSOL coupling with external code RMC. A linear mapping built using a General Extrusion operator. I need to obtain a whole bunch of data in the variables section, ef., Mass fraction, Density and others. 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 a strut is activated, it will generate a force proportional to the struts stiffness and the horizontal displacement. I have the other model, where i would need this variable u, but this time, it is a 2D model, non time dependent. problem with general extrusion - comsol.de Settings for the General Extrusion operator defined on the stator boundary. I apologize of my explanation sounds vague or ambiguous. The approach we have applied here is appropriate for any instance in which a spatially repeating solution needs to be utilized by other physics. 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. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version 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. As the excavation reaches their depths, the struts are activated as long as the horizontal wall deflection is greater than what we allow it to be. Disp is defined as one of three different scalars (0,1.5,3 mm) as per the fourth figure. Hi How much easier it could have been had we only known about geomechanics simulation software. This approach is also useful in other analyses including structural contact or surface-to-surface radiation in heat transfer. Instead, at every destination point, it first evaluates T_d(x_d,y_d) and carries out a mesh search operation to find the point on the source where this evaluation matches T_s(x_s,y_s). Ivar. One option involves a sweep of the geometry, removing the geometry (excavation) one step at a time. Is there any tutorial for comsol general projections? Stay tuned! indeed I do not believe I really understand what you intend to do. Mapping of data between different components in the model to perform submodeling, Mapping between components to extract results on different geometries, 2023 by COMSOL. This works and solution time is reduced to 118s so much more in line with the case without gaps! 50K views 6 years ago Creating Geometries in COMSOL Multiphysics: Tutorial Series COMSOL Multiphysics contains a handful of tools to quickly and easily convert 2D planar geometries into 3D. 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. It will always be requested to be evaluated at the destination coordinates entered in the settings of the General Extrusion coupling operator. It is also possible to define the mapping in terms of coordinate systems. 2 for the wall diaphragm totaling 60 elements, and one for the bottom boundary, with 3 elements. L=\frac{x_s}{2}\sqrt{1+4(\frac{x_s}{d})^2}+\frac{d}{4}\ln(2\frac{x_s}{d}+\sqrt{1+4(\frac{x_s}{d})^2}), we introduced you to Linear Extrusion operators, earlier blog post on Linear Extrusion operators, Using the General Extrusion Coupling Operator in COMSOL: Dynamic Probe, Using General Extrusion Operators to Model Rotation, Using General Extrusion Operators to Model Periodic Structures, Submodeling: How to Analyze Local Effects in Large Models, Postprocessing Local Data Using Component Coupling, Multiscale Modeling in High-Frequency Electromagnetics. This time in the x direction and using the second general extrusion operator in the u0 field. The general extrusion operation applies a rotational transform. From the Extrude from list, select Faces to extrude planar faces from the 3D geometry. Because the source entities are different, two operators are needed. A typical microfluidic device. Now, if desired, it is possible to model the entire device shown above. Thus, the second line y^iexpression is left blank. x_s = ax_d + by_d + e, \qquad y_s = cx_d + dy_d + f. r_s = \sqrt{x_d^2 + y_d^2}, \qquad z_s = z_d. Select the top strut and then total force as the load type. Sample data defined on the xy-plane, centered at the origin. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. This graph shows the wall deflection or horizontal displacement as a function of depth for different excavation steps. Your internet explorer is in compatibility mode and may not be displaying the website correctly. Now, add a free triangular for the remaining geometry. 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. First a mapped mesh for the retaining wall domain. listed if standards is not an option). For example, you can couple edges (boundaries) in 2D to edges in 3D; or couple 2D domains to 3D faces. And when you check the legends box, the plot will automatically be generated. -- Thank you! The upper layer soil, the lower layer soil, and the retaining wall. Within the original domain, a displacement of zero is used. Similarly, on side 2, we need access to the electric potential V_1 on the other side of the junction. The company's manufacturing operations, which include a Youngstown, Ohio plant, comprise 220,000 square feet. Submit feedback about this page or contact support here. Consider thermal expansion with axisymmetric thermal boundary conditions and material properties. In the results, how is Point 2 related to the general extrusion? Create a second plot group and surface plot, then enter in the expression solid.epe>0 to view the plastic deformation in the different soil layers. Now that the velocity field is defined throughout the modeling domain, the species concentration at the inlet is defined via the Inflow boundary condition. listed if standards is not an option). The General Extrusion operator is used to define the velocity field in all three periodic domains. Example 1 In our earlier blog post on Linear Extrusion operators, we considered an affine mapping that pairs up points 1, 4, and 2 in the source domain to points 1, 5, and 3 in the destination domain. 3 Replies, Please login with a confirmed email address before reporting spam. Right click again to duplicate it twice, since we want similar settings for the second and third struts. Ce consentement peut tre retir tout moment. Here, the p-n junction in a diode is represented by a thin gap in the geometry. Add a soil plasticity node and you can see that the yield criterion is DruckerPrager, but we still want to match it to the Mohr-Coulomb criterion. we first need to invert the expression L=\frac{x_s}{2}\sqrt{1+4(\frac{x_s}{d})^2}+\frac{d}{4}\ln(2\frac{x_s}{d}+\sqrt{1+4(\frac{x_s}{d})^2}) and write x_s in terms of L. Thats no fun at all! Right click the Boundary Load 3 node to rename it Strut_1. 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. 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. Oftentimes, however, we may not have explicit expressions. Add depth as the continuation parameter, and click the range button. Extrusion operators help us construct normal current density boundary conditions on each side of the ideal p-n junction. For the final part of the physics set up, we are going to add five boundary loads to the model. \rho C_{p} \frac{\partial T}{\partial t} + \rho C_{p} \mathbf{u} \cdot \nabla T = \nabla \cdot (k \nabla T). The video shown below uses the latter of the two strategies to model a 26-meter excavation. COMSOL Multiphysics filled in x and y in the first case and r and z in the second case. 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. The schematic diagram is shown in Figure 1. Is it possible to "paste" two functions in COMSOL? Note that a Linear Extrusion operator cannot be used here. We can tag the different sides as 1 and 2, as illustrated in the figure below. This can be useful for analysis; for example, to probe the solution at a point that is moving in time but is associated with a stationary geometry. Extrusion operators are used to identify which point in the source entity corresponds to a point in the destination entity. It can be used for a variety of different purposes, examples of which are presented here. All our employees have been thoroughly trained in Statistical Process Control (SPC), assuring our customers of cost-effective production from extrusion to finishing. Ce consentement peut tre retir tout moment. 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 same transforms can be implemented in three dimensions. The General Extrusion operator will map data from the boundary into the volume, along the z direction, as shown in the following screenshots. 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. Why Do Road and Mountain Bikes Have Different Spoke Patterns? 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. Here, we will demonstrate how to accomplish this using the General Extrusion component couplings in COMSOL Multiphysics. I guess your problem is that there is no recalculation after defining genext1, and this error will not be prompted after the calculation. 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 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. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version Thus, two extrusion operators are required. 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. At the outlet, we want the species to be well mixed. 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. There are two ways to model an excavation in COMSOL Multiphysics, both of which include a parametric sweep. Center: Temperature along the parabola. The Linear Extrusion operator defines a linear extrusion that maps between geometric parts of the same dimension. The settings of the General Extrusion coupling operator are shown below: The General Extrusion operator is used to define the velocity field in all three periodic domains. The time varying coordinates of the point at which we want to evaluate the temperature can be entered as the coordinates of the destination map. To apply what we have learned thus far, lets now build a diode model using the Electric Currents physics interface in COMSOL Multiphysics. Several cases are illustrated in the table below. Multiscale Modeling in High-Frequency Electromagnetics. There are some models. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. Mit der Anmeldung erklre ich mich damit einverstanden, dass COMSOL meine Daten gem meinen Prferenzen und wie in der Datenschutzerklrung von COMSOL beschrieben erfasst, speichert und verarbeitet. They appear in the Input faces list. This approach helps avoid confusion if there is an extrusion or another operator also called genext1 or another variable called T in the second component. 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? A prescribed displacement is also needed for the wall_soil boundary created earlier. Your internet explorer is in compatibility mode and may not be displaying the website correctly. For questions related to your modeling, please contact our Support team. 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.
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