Repeat this for every nonlinearity of the model. If you see this, right-click on the Solution feature and select Reset Solver to Default. Ramping the nonlinearities over time is not as strongly motivated, but step changes in nonlinearities should be smoothed out throughout the simulation. The difference between the phonemes /p/ and /b/ in Japanese. Common Mistakes: Not assigning materials to all the domains. We are planning to continuously update this page throughout the semester and hopefully, this will become a reference during your projects as well. Perhaps this approach could be adapted to represent your model. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Popular answers (1) This problem generally occurs when there is some mistake in the physics or study section or wrong selection of the mesh size. Why do many companies reject expired SSL certificates as bugs in bug bounties? - Here, we will examine techniques for accelerating the convergence of these two methods. The technique of load ramping is not always reasonable for all problems. The issue here has do with the iterative algorithm used to solve nonlinear stationary models. You can unsubscribe from these emails at any time. However, it is usually not possible to know this ahead of time. Any trademarks referenced in this document are the property of their respective owners. The problem is that when I run my model this message appear: Undefined value found. They deal with COMSOL package and train users. They worked with me. Posted Sep 9, 2020, 1:44 p.m. EDT Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Simulation of effect of heated resistance on temperature distribution in laminar flow, COMSOL: Diffusion in Transport of Diluted Species Produces Unphysical Results. Resources and documents are provided for your information only, and COMSOL makes no explicit or implied claims to their validity. Name: actdep_int1, Your email address will not be published. If your matrix is singular than no solver in the world can solve Ax=B. Therefore, it is recommended to use Adaptive Mesh Refinement which will automatically refine the mesh only in regions where it is needed, and coarsen the mesh elsewhere. It is also possible to manually refine the mesh. From there, if an additional small load increment is applied, the previously computed solution is a reasonable initial condition. If both load ramping and nonlinearity ramping are still leading to slow convergence, refine the mesh. In such cases it will be particularly helpful to ramp the load gradually in time, from consistent initial values. Nonlinearities arise as a consequence of the governing equation, as a material nonlinear expression, or as a coupling term between physics. Do you also know how to solve this problem: using stationary solution as the initial conditions in time dependent model, How Intuit democratizes AI development across teams through reusability. listed if standards is not an option). "After the incident", I started to be more careful not to trip over things. See if these can be used instead of explicitly modeling parts with high-aspect ratio geometries. The continuation method will again backtrack and try intermediate values of the ramping parameter, thus giving you the nearest approximation to the abrupt transition that is solvable. Please dont hesitate to post comments below or send emails to us if you experience any other problems. The fully coupled and segregated approaches are discussed below. That is, the material property changes instantaneously from 10W/m/K to 20W/m/K at 400K. Use either a very fine mesh throughout the simulation domain or use adaptive mesh refinement. In this blog post we introduce the two classes of algorithms that are used in COMSOL to solve systems of linear equations that arise when solving any finite element problem. With respect to multiphysics couplings, rather than solving the problem using a fully coupled approach (the default) solve the problem sequentially, with one physics being solved after another. If a good estimate to the solution field is known, this can be entered as an an expression in the Initial Value field. . One can say that, in general, if the loads on a nonlinear system are zero, the system will be at rest; that is, the solution will be zero. In a previous blog entry, we introduced meshing considerations for linear static problems. thanks for reply Not the answer you're looking for? Changes to these low-level settings from the defaults will usually be quite model- and case-specific. This algorithm was also useful for understanding what happens near a failure load. k(T,P) = 10[W/m/K]*((1-P)+P*exp(-(T-293[K])/100[K])) Is it possible to rotate a window 90 degrees if it has the same length and width? However, load ramping will not work in all cases, or may be inefficient. In such cases, use the same continuation method, but instead ramp the nonlinearities in the model. In many physics areas there exist alternative physics formulations specifically meant for solving cases where the geometry has an extreme aspect ratio. 3. Feature: Stationary Solver 1 (sol1/s1)" . Improving Convergence of Nonlinear Stationary Models, Knowledgebase 1030: Error: "Out of memory", Knowledgebase 1030: Performing a Mesh Refinement Study, Understanding the Fully Coupled vs. Therefore, an initial value of zero is almost always reasonable if a very small load is applied. At low flow speeds the flow solution will be time invariant, but at higher flow rates there will be vortex shedding, a time-varying change in the flow field behind the cylinder. listed if standards is not an option). This is a review for cards & stationery in Brea, CA: "Love this store!!! - The Continuation method is enabled by default when using the Auxiliary sweep study extension, as shown below. To start a new discussion with a link back to this one, click here. thanks for reply Nonlinearity ramping is an especially useful technique if any of the nonlinear terms in the model are very abrupt. Convergence can be poor when the initial values do not provide a good starting point for this iterative approach. - the incident has nothing to do with me; can I use this this way? It is also possible to manually refine the mesh. As a rough rule of thumb, once the aspect ratio between the largest characteristic dimension to the smallest approaches 100:1, you might start to run into issues and should look to alternative ways of posing the problem, especially in a 3D model. A nonlinearity can be introduced into the model either in the governing equation, or by making any of the material properties, loads, or boundary conditions dependent upon the solution. Load ramping and nonlinearity ramping can be used in combination, but start with only one or a few of the loads or nonlinearities being ramped. Get email updates for new Stationary Engineer jobs in Brea, California, United States. The default solver for most 3D models is an iterative solver, which is more sensitive to ill-conditioned problems. There will also be a red cross over the Materials branch icon. There are two approaches that can be used when iteratively solving the nonlinear system of equations: a Fully Coupled or a Segregated approach. Common Mistakes: Not assigning materials to all the domains. This information is relevant both for understanding the inner workings of the solver and for understanding how memory requirements grow with problem size. This case is generally difficult, or impossible, to solve since this material property is non-smooth. For the Nozomi from Shinagawa to Osaka, say on a Saturday afternoon, would tickets/seats typically be available - or would you need to book? However, it is usually not possible to know this ahead of time. The stationary solver is used both for Stationary (time-invariant) and Frequency Domain (time-harmonic) study types. Therefore, it is recommended to use Adaptive Mesh Refinement which will automatically refine the mesh only in regions where it is needed, and coarsen the mesh elsewhere. This can arise as a consequence of extreme variations in the material properties, or high aspect ratio geometry. The conditions on the geometric aspect ratio are relatively more strict. The coupling terms between the different groups are thus neglected. Once a simplified solvable version of the model has been found, gradually increase the model complexity again, re-introducing nonlinearities and multiphysics couplings. That is: Even if the forces on a part are opposite and equal, this is not sufficient information to say where the part is, so you must add some other condition, such as as Fixed Constraint to constrain displacement. Version 5.3 Screenshot showing a Solver Configuration that has been altered. This is for COMSOL 5.2, but should be similar for 4.2: Create the stationary study. First, it is physically intuitive, often matching how one would perform an experiment. Not meshing all the domains. Sometimes, reducing the model complexity can be quite challenging and it can be better to start from as simple a case as possible and gradually increase the complexity. The Auxiliary Sweep can be used to implement ramping of any Global Parameter. The other low-level default settings within the Stationary Solver are chosen for robustness. The algorithm is, generally speaking, a Newton's method approach. Despite this, the segregated approach can often converge very robustly, unless there are very strong couplings between the physics in the model. The Fully Coupled solution approach, with the Plot While Solving enabled. Using this technique systematically, along with the techniques described previously, will usually identify the nonlinearities in the model that are leading to issues. Note: there is no way to couple this field with the time dependent nature of this physics. It may also reveal that the model itself is ill-posed in some way. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); This site uses Akismet to reduce spam. Tutti i diritti sono riservati. The technique of load ramping is not always reasonable for all problems. Multiphysics problems are often nonlinear. Posted 26 set 2019, 17:57 CEST Mesh Version 5.3 0 Replies. Reply . This solver is automatically used when a Stationary or Frequency Domain study is added to the model. Solving such models in a stationary sense should simply require solving a single (large) system of linear equations and should always be solvable, but there are cases when the software will fail to find a solution. This approach is known as a Continuation Method with a Constant predictor. There are two approaches that can be used when iteratively solving the nonlinear system of equations: a Fully Coupled or a Segregated approach. Consult your product manuals for complete trademark details. If instead the model is linear, see: Knowledgebase 1260: What to do when a linear stationary model is not solving. In the extreme case, suppose one wants to model an instantaneous change in properties, such as: With respect to multiphysics couplings, rather than solving the problem using a fully coupled approach (the default) solve the problem sequentially, with one physics being solved after another. If instead the model is linear, see: Knowledgebase 1260: What to do when a linear stationary model is not solving. This is for COMSOL 5.2, but should be similar for 4.2: Create the stationary study. In our previous blog entry, we introduced the Fully Coupled and the Segregated algorithms used for solving steady-state multiphysics problems in COMSOL. By default, the COMSOL Multiphysics software determines these values heuristically depending on the physics as, for example, the specified initial values or a solution from an earlier study step. She opened prepackaged 6-packs of Seegars to make ", All "stationary stores" results in Brea, CA, Search stationary stores in popular locations. The Continuation method is enabled by default when using the Auxiliary sweep study extension, as shown below. It's brand new in the hmart plaza and I wish it was open back when I would hangout in the plaza after school (although they would have taken all my allowance money! Making statements based on opinion; back them up with references or personal experience. COMSOL makes every reasonable effort to verify the information you view on this page. The Fully Coupled solution approach, with the Plot While Solving enabled. Set initial conditions in the physics to the appropriate dependent model variable names rather than the default 0. Nonlinearities arise as a consequence of the governing equation, as a material nonlinear expression, or as a coupling term between physics. Such problems must solved in the time domain. Required fields are marked *. This involves a systematic reduction in the model complexity. Stationary (time-invariant) models with nonlinearities may converge very slowly. Changes to these low-level settings from the defaults will usually be quite model- and case-specific. Nonlinearities arise as a consequence of the governing equation, as a material nonlinear expression, or as a coupling term between physics. The finite element mesh must be fine enough to resolve the spatial variations in the solution fields. First, it is physically intuitive, often matching how one would perform an experiment. Within either of these features, it can also be helpful to enable the Results While Solving option, as shown in the screenshot below, to visualize the iterations being taken during the solution. 140K views 8 years ago COMSOL Multiphysics Tutorial for Beginners Please note that an updated version of the content in this video can be found in the Modeling Workflow video in the COMSOL. Hi Alexis, The "Values for dependent values" in study step settings should be set to the default ("Physics-controlled" in 5.2). The continuation method will again backtrack and try intermediate values of the ramping parameter, thus giving you the nearest approximation to the abrupt transition that is solvable. listed if standards is not an option). Extending this logic, if one wants to solve for any arbitrary load on a nonlinear system, it makes sense to solve a sequence of intermediate problems with gradually increasing load values and using the solutions from each previous step as the initial condition for the next step. As part of our solver blog series we have discussed solving nonlinear static finite element problems, load ramping for improving convergence of nonlinear problems, and nonlinearity ramping for improving convergence of nonlinear problems. Use either a very fine mesh throughout the simulation domain or use adaptive mesh refinement. At low flow speeds the flow solution will be time invariant, but at higher flow rates there will be vortex shedding, a time-varying change in the flow field behind the cylinder. The stationary solver is used both for Stationary (time-invariant) and Frequency Domain (time-harmonic) study types. Numerically ill-conditioned means that the system matrix is nearly singular and that it will be difficult to solve on a finite-precision computer. Segregated approach and Direct vs. Iterative linear solvers, Time dependent function and stationary study, Combining Adaptive Mesh Refinement with Data Filtering, What to do when a linear stationary model is not solving, Galleria dei Modelli e delle App di Simulazione, 2023 da COMSOL.
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