There are two approaches that can be used when iteratively solving the nonlinear system of equations: a Fully Coupled or a Segregated approach. In the extreme case, suppose one wants to model an instantaneous change in properties, such as: 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. Right-click on the Stationary Solver node and add either the Segregated or Fully Coupled feature. For example, if ramping P over values of: 0.2,0.4,0.6,0.8,1.0 the nonlinear solver may fail to converge for a value of 0.8. (Frequency Domain should be the last step) Nonlinearity ramping is an especially useful technique if any of the nonlinear terms in the model are very abrupt. Direct Iterative , Direct . One of the key concepts there was the idea of mesh convergence as you refine the mesh, the solution will become more accurate. COMSOL does not assume any legal liability for the accuracy of the data disclosed. COMSOL makes every reasonable effort to verify the information you view on this page. thanks for reply In such cases it will be particularly helpful to ramp the load gradually in time, from consistent initial values. Some models are numerically ill-conditioned due to the setup. By creating this job alert, you agree to the LinkedIn User Agreement and Privacy Policy. Different physics have different default solvers. With sufficient simplification, a model can be reduced to a linear problem, and if this simplified model does not converge, see: What to do when a linear stationary model is not solving. Hi Alexis, Convergence can be poor when the initial values do not provide a good starting point for this iterative approach. To start a new discussion with a link back to this one, click here. That is, start by first solving a model with a small, but non-zero, load. That is, they are tuned to achieve convergence in as many cases as possible. Second, the continuation method will automatically take smaller load increments if a solution cannot be found. For example, if there is a temperature-dependent material property such as: Have you taken a look at this blog post? Use a manually defined mesh to avoid elements with extreme aspect ratios and perform a mesh refinement study, as described here: Performing a Mesh Refinement Study, For problems that are ill-conditioned, using a direct solver is often called for. 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. $125,000.00, Project Engineer (In-person/Hybrid/Remote), $100,000.00 The conditions on the geometric aspect ratio are relatively more strict. Each physics is thus solved as a standalone problem, using the solution from any previously computed steps as initial values and linearization points. See Knowledge Base 1240: Manually Setting the Scaling of Variables. This is a review for cards & stationery in Brea, CA: "Love this store!!! Consult your product manuals for complete trademark details. November 11, 2013. For example, if ramping P over values of: 0.2,0.4,0.6,0.8,1.0 the nonlinear solver may fail to converge for a value of 0.8. The solver settings are stored at Study > Solver Configurations > Solution. This case is generally difficult, or impossible, to solve since this material property is non-smooth. Using this technique systematically, along with the techniques described previously, will usually identify the nonlinearities in the model that are leading to issues. That is, within each outer Newton-type iteration, the segregated approach solves for each segregated group sequentially. Perhaps this approach could be adapted to represent your model. Perhaps this approach could be adapted to represent your model. I am following the same model as Comsol provide us on the web. A linear finite element model is one in which all of the material properties, loads, boundary conditions, etc are constant with respect to the solution, and the governing partial differential equations are themselves linear. Required fields are marked *. 0 Replies, Please login with a confirmed email address before reporting spam. If a good estimate to the solution field is known, this can be entered as an an expression in the Initial Value field. What is the purpose of non-series Shimano components? Solve the stationary study then the time dependent study. If you try to enter a variable that is undefined, the automatic syntax highlighting will identify this as you enter it, and it is best practice to resolve this immediately. You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version Nonlinearity ramping is an especially useful technique if any of the nonlinear terms in the model are very abrupt. The latter method is known as the Continuation Method with a Linear predictor, and is controlled within the Study Configurations as shown in the screenshot below. The other low-level default settings within the Stationary Solver are chosen for robustness. Find detailed information on Office Supplies, Stationery, and Gift Retailers companies in Brea, California, United States of America, including financial statements, sales and marketing contacts, top competitors, and firmographic insights. This is useful since the software will then return an estimation of the maximum possible loadcase for which the solver can converge. This is useful since the software will then return an estimation of the maximum possible loadcase for which the solver can converge. The issue here has do with the iterative algorithm used to solve nonlinear stationary models. I use comsol multiphysics 5.2a and . In many physics areas there exist alternative physics formulations specifically meant for solving cases where the geometry has an extreme aspect ratio. The exceptions are the Heat Transfer interfaces, which have a default Initial Value of 293.15K, or 20C, for the temperature fields. Alle Rechte vorbehalten. If the default iterative solver is not converging, try switching to a direct solver, as described here: Understanding the Fully Coupled vs. This information is relevant both for understanding the inner workings of the solver and for understanding how memory requirements grow with problem size. Stationary Solver Iterative Direct . Segregated approach and Direct vs. Changes to these low-level settings from the defaults will usually be quite model- and case-specific. This approach is known as a Continuation Method with a Constant predictor. It is also possible to manually refine the mesh. The default Initial Values for the unknowns in most physics interfaces are zero. This algorithm was also useful for understanding what happens near a failure load. Segregated approach and Direct vs. In that case, the continuation method will automatically backtrack and try to solve for intermediate values in the range of 0.6 through 0.8. Multiphysics problems are often nonlinear. The default Initial Values for the unknowns in most physics interfaces are zero. This approach is used by default for most 1D, 2D, and 2D-axisymmetric models. It is sometimes necessary to manually scale the dependent variables. Resources and documents are provided for your information only, and COMSOL makes no explicit or implied claims to their validity. 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. To switch between these solver types, go to the Stationary Solver node within the Study sequence. This solver is automatically used when a Stationary or Frequency Domain study is added to the model. The "Values for dependent values" in study step settings should be set to the default ("Physics-controlled" in 5.2). This approach is known as a Continuation Method with a Constant predictor. - Click the link in the email we sent to to verify your email address and activate your job alert. - Feature: Stationary Solver 1 (sol1/s1)Failed to find a solution. Then use this file to provide the initial conditions in time dependent model. Save my name, email, and website in this browser for the next time I comment. Use either a very fine mesh throughout the simulation domain or use adaptive mesh refinement. 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. 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. The Continuation method is enabled by default when using the Auxiliary sweep study extension, as shown below. The technique of load ramping is not always reasonable for all problems. That is, they are tuned to achieve convergence in as many cases as possible. k(T,P) = 10[W/m/K]*((1-P)+P*exp(-(T-293[K])/100[K])) Linear solvers. Cecilia M. came from the backroom to help me and went out of her way to help me even though I had not called before going into the store. k(T) = 10[W/m/K]+10[W/m/K]*(T>400[K]) Comsol help video number 2: Solving a laminar flow problem in a slit.. Examine the model and identify all terms that introduce nonlinearities, such as multiphysics couplings, nonlinear materials relationships, and nonlinear boundary conditions. Check the solver log to see if the continuation method is backtracking. The finite element mesh must be fine enough to resolve the spatial variations in the solution fields. Reviews on Stationary Stores in Brea, CA - Typo, Mievic, Posh Paper, Morning Glory, Select Graphics & Printing, Daiso Japan, Urban Outfitters, Office Depot, Barnes & Noble As a second example, when solving for Electric Currents, do not model perfect electrical insulators as materials with zero conductivity, instead, omit the domain from the model and use the Electric Insulation boundary condition. Today's top 351 Stationary Engineer jobs in Brea, California, United States. This segregated approach is used by default for most 3D multiphysics models, and the software will automatically segregate the problem into appropriate groups. That is, within each outer Newton-type iteration, the segregated approach solves for each segregated group sequentially. The unknowns are segregated into groups, usually according the physics that they represent, and these groups are solved one after another. The unknowns are segregated into groups, usually according the physics that they represent, and these groups are solved one after another. Unknown function or operator. Hello, In such cases, use the same continuation method, but instead ramp the nonlinearities in the model. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. That is, when solving, the software starts with the user-specified initial values to evaluate all solution-dependent terms. A Global Parameter has to be introduced (in the above screenshot, P) and is ramped from a value nearly zero up to one. Right-click on the Stationary Solver node and add either the Segregated or Fully Coupled feature. What did people search for similar to stationary stores in Brea, CA? The memory requirements will always be lower than with the fully coupled approach, and the overall solution time can often be lower as well. Using this technique systematically, along with the techniques described previously, will usually identify the nonlinearities in the model that are leading to issues.

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