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? This button displays the currently selected search type. 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. FIGURE 1. General Extrusion, Linear Extrusion . 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. Settings used to map data from a boundary parallel to the xy-plane along the z direction. To evaluate the temperature at the destination coordinates, you can call the General Extrusion coupling operator with a temperature argument, as genext1(T), where T is the dependent variable name for Temperature. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this . An initial stress is added to the model as well to simulate the in-situ stresses in the x, y, and z directions. Thanks in advance. 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 General Extrusion operator is used to define the velocity field in all three periodic domains. They appear in the Input faces list. 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). I am trying to use the same for droplet evaporation. This time in the x direction and using the second general extrusion operator in the u0 field. General Extrusions, Inc. continues its tradition as a leading manufacturer of aluminum extrusions where quality always comes first. Schematic of a microfluidic mixer that depicts the repeated unit cell and the inlet and outlet zones. I apologize of my explanation sounds vague or ambiguous. Enter the expression for the general extrusion operator from earlier. The variable Disp is individually defined within each of the three domains, as shown in the figure below. This consent may be withdrawn. Computing and Visualizing Satellite Orbits in COMSOL, Introduction to the Elastic Waves, Time Explicit Interface. Thank you Walter for a wonderful discussion. Now that the velocity field is defined throughout the modeling domain, the species concentration at the inlet is defined via the Inflow boundary condition. Center: Temperature along the parabola. Take a look at the figure below. We can tag the different sides as 1 and 2, as illustrated in the figure below. When it comes to general nonlinear mappings, General Extrusion operators are necessary. Struts are activated once the excavation reaches their depths by using a boolean expression. I didn't mean to do integration, what i meant is something like: It can be used for a variety of different purposes, examples of which are presented here. COMSOL Multiphysics will take care of T_s^{-1}(T_d(x_d,y_d)), a necessary step in identifying the source coordinates. Take a look at the figure below. The other option is to start with the already excavated geometry, and simulate the excavation using a boundary load. Both source and destination are two-dimensional, as well as the intermediate mesh (srcdim = idim = dstdim). Discussion Closed This discussion was created more than 6 months ago and has been closed. 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. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version listed if standards is not an option). Submit feedback about this page or contact support here. 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. 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. Tutti i diritti sono riservati. This time in the x direction and using the second general extrusion operator in the u0 field. We can simply enter the time varying coordinates in the x, y, and z-expressions of the destination map. The flow solution on this unit cell is also plotted, as shown below. A circular micro-electrode array with three phases is designed and prototyped using PolyMUMPs process for AC electro-osmotic flow pumping. Such devices feature small channels that are filled with fluids carrying different chemical species. Submit feedback about this page or contact support here. Although it is not strictly necessary to do so, the mesh is copied from the one domain used to solve for the fluid flow to all of the other domains. It can be done in one model if just the physics are changing. All you need are the time-dependent coordinates of the point where you would like to evaluate the temperature. At a point P_d in the destination entity, we want to compute a quantity that is a function of another quantity defined at the source entity. The applied heat load is described via a user-defined function, hf (x,y,t), that describes how the laser heat load moves back and forth along the x -axis in the global coordinate system. We want stress in the negative x-direction here. Thus, two extrusion operators are required. We were the 1st North American Aluminum Extruder to achieve ISO 9002 Certification. For example, you can couple edges (boundaries) in 2D to edges in 3D; or couple 2D domains to 3D faces. The parts can exist in geometries of different space dimensions. It is also possible to define the mapping in terms of coordinate systems. In practice, COMSOL Multiphysics does not construct an analytic expression for the inverse of the source map. Multiscale Modeling in High-Frequency Electromagnetics. listed if standards is not an option). To add a General Extrusion operator, we go to Definitions > Component Couplings > General Extrusion. If the nonlocal couplings you want to simulate are not included in the built-in features of COMSOL Multiphysics, you can use the strategies youve learned today to implement them. 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. Currently we are ISO 9001 certified. Phone: (330) 783 0270 Fax: (330) 788 1250 Email: sales@genext.com P.O. The stator boundary 33 is used as the source boundary in the General Extrusion operator. We can choose a prescribed displacement to make sure the soil at boundary 4 only moves in the y direction. This will enable us to define the flow field in the entire serpentine section. this defines if you should us a linear or general Extrusion or Projection The model in question is called Laser Heating of a Silicon Wafer, and can be found in the Model Gallery. Good luck General Extrusion coupling operator settings. 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. The information provided may be out of date. However, if we neglect the structure near the inlet and the outlet, we can reasonably assume that the flow within the channel bends will be identical between the unit cells. I defined a general extrusion operator, then defined variables such as T_sf = genext1(comp1.T), Y_sf = genext1(Y) and so. Now suppose we would like to evaluate the temperature at one point of the rotating wafer. With a voltage terminal at the bottom of the device and ground at the top of the device, the following results are obtained. Next, lets take a look at the settings of the General Extrusion coupling operator. However, if we want to use variables from a 2D axisymmetric component in the physics node of a 3D component (i.e., thermal expansion), we need to utilize General Extrusion operators. 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}). You can learn more about the use of projection operators in this previous blog post. Now we will create a 1D plot and a line graph, with the wall diaphragm as the selection. Right: Temperature mapped from the parabola to the domain. -- Oftentimes, however, we may not have explicit expressions. Right click the Boundary Load 3 node to rename it Strut_1. The Periodic Flow condition is used to set the velocity so it is identical at the inlet and outlet boundaries, allowing us to specify a pressure drop over a single unit cell. The settings for the General Extrusion operator and the definitions of the variable in the three domains. For such a unit cell model, the walls of the channels are set to the Wall, No Slip condition. comsol.com Add depth as the continuation parameter, and click the range button. There are some models. Extruding Data Along a Direction Extrusion operators are used to identify which point in the source entity corresponds to a point in the destination entity. 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. Your internet explorer is in compatibility mode and may not be displaying the website correctly. Please can you explain what I am doing wrong? General Extrusions, Inc. produces aluminum extrusions in compliance with RoHS (Restriction of Hazardous Substances) requirements. listed if standards is not an option). The parameters J_s, q, k, \textrm{and } T represent the following, respectively: the saturation current density, the electronic charge, Boltzmanns constant, and temperature. How did you select the source in the general extrusion settings? For example, to map data from a boundary around a centerline, introduce a cylindrical system, and use those coordinate system variables to define the source and destination map. When building the mapping, it is important to ask the following question: Given the coordinates of the destination point, how do we go to the source point? As the excavation deepens, three struts are activated using a ramp function, and boolean expressions. In this example, the operator is used by the Transport of Diluted Species interface to define the velocity field (illustrated below). Several cases are illustrated in the table below. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version COMSOL Multiphysics filled in x and y in the first case and r and z in the second case. The boundary condition at the top side is illustrated below. The Graphics Window: Effective and Beautiful Postprocessing, Generating Microsoft PowerPoint Slideshows from Your Models, Combining Adaptive Mesh Refinement with Data Filtering. From the graph below, can you see why the plot of arcext(T) on the right shows a radial variation? Add boundary 8 and change the y-axis data expression to v and use millimeters as the unit. This is reasonable to do since it is assumed that the flow field is independent of the species concentration. In fact, a shortcut can be made by using the expression genext2(V)-genext1(V) for the voltage difference, regardless of which side it is being applied. I tried to use your method but I failed. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version so we choose 0.6 to be on the safe side. 3M dof and can be solved in 86s, when no gaps are present and we can rely on a conforming mesh). It also provides design assistance and engineering support. The source domain(s) can be the domain(s) on which the destination point(s) are defined. For circular periodicity, a rotation matrix, not a linear shift, must be used in the destination map. Sometimes, we may want to access an integral, average, maximum, or minimum over a source line, surface, or volume. General Extrusions is owned and run by the Schuler family.Read More. 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. The Micromixer tutorial, available in our Application Gallery, is an example of such a model. Settings used to revolve data about the azimuthal axis of a cylindrical coordinate system. 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. The default plot shows the von Mises stress. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this data along the z direction. Logging into your COMSOL Access account enables you to download the documentation for this model as well. Right click again to duplicate it twice, since we want similar settings for the second and third struts. The settings of the General Extrusion coupling operator are shown below: Settings used to map data from a boundary parallel to the xy-plane along the z direction. A symmetry is used because the modeled excavation is only the right half of the full excavation. Then the naming and differentiation between time and spatial variables is basically a convention issue, the math behind does not really change General Extrusions, Inc. produces aluminum extrusions in compliance with RoHS (Restriction of Hazardous Substances) requirements. Additional settings are shown below. Therefore we want stress in the y-direction. Extrusion operators can be used to access the electric potential on the other side of a junction. I didn't mean to do integration, what i meant is something like: Thanks for replying. Unknown function or operator. Currently we are ISO 9001 certified. \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}) = \sqrt{x_d^2+y_d^2}. 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. In the 4.0a interface i do not know where to define the variable Va ( source) and its expression (V). When this check box is left unchecked, COMSOL Multiphysics assumes that we have explicit expressions for each coordinate of the source as functions of coordinates of the destination. Thank you. To do so, you can use General Extrusion operators to map the fields from the stator to the slider. It also provides design assistance and engineering support. The working fluid is water with properties defined at room temperature and pressure. Create a second line graph, showing the surface settlement, or vertical displacement, as a function of the distance from the wall. Your internet explorer is in compatibility mode and may not be displaying the website correctly. The same transforms can be implemented in three dimensions. The second boundary load is added for the vertical retaining wall boundaries. The materials have already been created and set up for this model. In the results, how is Point 2 related to the general extrusion? The components of this velocity field are now defined in all of the repeated domains via the General Extrusion operator: genext1(u) and genext1(v), respectively. A destination map and source map is specified here. Using source and destination maps to define implicit relations between source and destination coordinates in a General Extrusion operator.
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