For the final part of the physics set up, we are going to add five boundary loads to the model. If its a simple analysis may be u dont even want the two components. unfortunately, I get the following error. It contained both the high and low points for that academic semester; the lab portion was a lot of fun, learning about (read: playing with) the different soils and clays existing in the state of Georgia. I have a 1D model (time dependent) and a 2D model (stationary). Next, well look at how to use a General Extrusion operator to specify implicit relations. 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. 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. Currently we are ISO 9001 certified. Thus, the latter quantity from a source point P_s needs to be copied to the destination entity. Hi, The plot below shows the graph for temperature evaluated at a point located 0.5 inches from the center of the rotating disk: Schematic of a microfluidic mixer that depicts the repeated unit cell and the inlet and outlet zones. Extruding Data Along a Direction Mapping of data between different components in the model to perform submodeling, Mapping between components to extract results on different geometries. 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 periodic velocity field, indicated by the arrows, is solved in one domain and mapped into the others. Currently we are ISO 9001 certified. Finite element model of the micro electrode array has been. 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. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version Struts are activated once the excavation reaches their depths by using a boolean expression. How to Extrude, Revolve, and Sweep 2D Geometries in COMSOL - YouTube Your internet explorer is in compatibility mode and may not be displaying the website correctly. There are some models. CNC Machining for Aluminum Extrusions. 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. General Extrusion coupling operator settings. Online Support Center: https://www.comsol.com/support Enter the expression for the general extrusion operator from earlier. The information provided may be out of date. Take a look at the figure below. This worked perfectly for a point moving on a surface. I have only one small question, if you dont mind, you could maybe write the expressions of the variable disp. 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. Standard and precision custom aluminum extrusions in 3000 and 6000 series alloys; Complete aluminum extrusion components including your finish requirements. COMSOL on Twitter: "Using the General Extrusion coupling operator in Thus, the second line y^iexpression is left blank. Right click again to duplicate it twice, since we want similar settings for the second and third struts. 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. 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. 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. A little calculus gives us the arc length of the parabola between the origin and the source point (x,y). The Shockley diode equation for the current-voltage (I-V) relation is used at the junction. To add a General Extrusion operator, we go to Definitions > Component Couplings > General Extrusion. Create the ramp function for activating the struts. First, did you only the repeating unit in your graphics window before using the General Extrusion and Periodic Boundary conditions node or was it the entire geometry? General Extrusions, Inc. continues its tradition as a leading manufacturer of aluminum extrusions where quality always comes first. The stator boundary 33 is used as the source boundary in the General Extrusion operator. The velocity field is given by u and v, the fluid velocity in the x and y-directions, respectively. Click the player button again to view all the parameter values in succession. I wonder when will you post about Mapping Cross-Sectional Data? A one-to-one source map makes the search return, at most, one source point for a given destination point. In the case of General Extrusion operators, we write out the mathematical description of the mapping for an arbitrary point in the destination. 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! 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. listed if standards is not an option). 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. Ce consentement peut tre retir tout moment. If the structural boundary conditions are not axisymmetric, we can save time by performing an axisymmetric thermal analysis in one component, and then mapping the temperature from the 2D axisymmetric domain to the 3D domain for structural analysis in another component. 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. The schematic below illustrates that there are two fluid inlets, both of which carry the same solvent (water) but a different solute. Now, if desired, it is possible to model the entire device shown above. Consider thermal expansion with axisymmetric thermal boundary conditions and material properties. 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. First a mapped mesh for the retaining wall domain. There are two ways to model an excavation in COMSOL Multiphysics, both of which include a parametric sweep. I didn't mean to do integration, what i meant is something like: I have defined a general extrusion coupling operator to obtain the dependent variable (in my heat transfer case, the temperature "T") at a boundary. The company produces standard and custom aluminum extrusions for manufacturers in the appliance, medical equipment, transportation, and automotive markets, among others. General Extrusion - COMSOL Multiphysics Settings used to map data from a boundary parallel to the xy-plane along the z direction. listed if standards is not an option). We can simply enter the time varying coordinates in the x, y, and z-expressions of the destination map. Your internet explorer is in compatibility mode and may not be displaying the website correctly. The General Extrusion operator will map data from the boundary into the volume, along the z direction, as shown in the following screenshots. Extrusion operators can be used to access the electric potential on the other side of a junction. The General Extrusion operator will map data from the boundary into the volume, along the z direction, as shown in the following screenshots. Mapping of data defined on a boundary (left) along the direction normal to the plane and into a volume (right). In addition to simply copying known quantities, these operators can be used to create nonlocal couplings between unknown variables, as illustrated in our p-n junction example. The working fluid is water with properties defined at room temperature and pressure. To begin, lets focus on how to replicate a Linear Extrusion operator with a General Extrusion operator. -- Good luck If we know this ahead of time, it is possible to exploit the periodicity to reduce computational requirements. Examples of the General Extrusion Operator - COMSOL The settings of the General Extrusion coupling operator are shown below: Add a distribution for the wall diaphragm and enter 60 for the number of elements. We were the 1st North American Aluminum Extruder to achieve ISO 9002 Certification. Create a second line graph, showing the surface settlement, or vertical displacement, as a function of the distance from the wall. Several cases are illustrated in the table below. have some questions. It also provides design assistance and engineering support. Extrusion operators are used to identify which point in the source entity corresponds to a point in the destination entity. In the COMSOL multiphysics user guide you can find a better explanation of how to use the general projection operator. The settings for the General Extrusion operator and the definitions of the variable in the three domains. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version The following types of Extrusion Coupling Operators are available: In the 4.0a interface i do not know where to define the variable Va ( source) and its expression (V). For the 2D model, I have computed the expression u(x,y). Tutti i diritti sono riservati. In 4.0a, I can define a general extrusion coupling, and the source domain is applies to. Right-click study 1 to compute the model. For the y-axis data, the expression is y, and for the x axis, the expression is u, with millimeters as units. There are four sets of results showing the deformation of the soil and retaining wall, the plastic deformation, wall deflection, and the surface settlement. How to use the General Extrusion - COMSOL Multiphysics | Facebook I believe so, you need to define how your "y" is reduced, that is is it simply dropped or do you integrate along y ? All you need are the time-dependent coordinates of the point where you would like to evaluate the temperature. Frontiers | Development of multiphysics coupling system for nuclear Then the naming and differentiation between time and spatial variables is . Lets now explore how to use a General Extrusion operator to copy data from a 2D axisymmetric component to a 3D component, such that the source and destination points correspond to the same point in space. \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}. In this example, a 26-meter excavation is modeled by means of a parametric sweep, with a step size of 2 meters. Please can you explain what I am doing wrong? Using General Extrusion Operators to Model Periodic Structures - COMSOL Both cases involve mapping between points that share the same x-coordinate. this defines if you should us a linear or general Extrusion or Projection Now, add a free triangular for the remaining geometry. Mapping of data defined on a cross section (left) around an axis of symmetry and into a volume (right). Rename the third strut to finish off the physics set up. Here, we will demonstrate how to accomplish this using the General Extrusion component couplings in COMSOL Multiphysics. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this . 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. Sample data defined on the xy-plane, centered at the origin. Using a General Extrusion operator to copy data from the 2D axisymmetric domain to the corresponding 3D domain. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version Now that the velocity field is defined throughout the modeling domain, the species concentration at the inlet is defined via the Inflow boundary condition. Now suppose we would like to evaluate the temperature at one point of the rotating wafer. It is also possible to define the mapping in terms of coordinate systems. Adding a General Extrusion coupling operator.The green vector field is the transport term used to model the wafer rotation. In other words, the operators define the point-to-point map. Rename this one Strut_2. A circular micro-electrode array with three phases is designed and prototyped using PolyMUMPs process for AC electro-osmotic flow pumping. Add a second distribution for the bottom boundary, and enter 2 for the number of elements. Your internet explorer is in compatibility mode and may not be displaying the website correctly. The General Extrusion operator is used to define the velocity field in all three periodic domains. Note: This discussion is about an older version of the COMSOL Multiphysics . Logging into your COMSOL Access account enables you to download the documentation for this model as well. For clarity, we did not use this trick here. FIGURE 1. Submit feedback about this page or contact support here. This computed flow field can then be used as input for the convection-diffusion equation governing the species concentration. General Extrusion Variable - comsol.it Lets consider a laser heating example where you have a moving heat source, the laser, and a moving geometry. The species concentration (shown in color) is solved in all three repeating domains. The periodic modeling domain and the fluid flow solution. The results of the analysis, including the concentration and the mapped velocity field, are depicted below. We can tag the different sides as 1 and 2, as illustrated in the figure below. All points in the domain with the same distance from the origin copy temperature from the same point on the parabola. The first boundary load is added for the horizontal soil boundaries. 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}). A symmetry is used because the modeled excavation is only the right half of the full excavation. The materials have already been created and set up for this model. Is there any tutorial for comsol general projections? Mapping of data defined on a boundary (left) along the direction normal to the plane and into a volume (right). 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. Thank you! 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. In the course of building multiphysics models, we often encounter situations in which the solution to one physics is periodic or very nearly so while the solutions to other physics of interest are nonperiodic. At the outlet, we want the species to be well mixed. Given an expression defined on a plane, e.g., the xy-plane, it is desired to map this data 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. Welcome to General Extrusions Inc. Therefore we want stress in the y-direction. General Extrusions, Inc. continues its tradition as a leading manufacturer of aluminum extrusions where quality always comes first. at an interface. The video shown below uses the latter of the two strategies to model a 26-meter excavation.