Difference between revisions of "Lid driven cavity"
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The snippet of the MLSM code for an explicit ACM method with CBS looks like: (full examples, including '''implicit versions''', can be found under the examples in the code repository [[Main Page]]). | The snippet of the MLSM code for an explicit ACM method with CBS looks like: (full examples, including '''implicit versions''', can be found under the examples in the code repository [[Main Page]]). | ||
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<figure id="fig:lid_driven_Re100"> | <figure id="fig:lid_driven_Re100"> | ||
[[File:lid_driven_contour_Re100.png|600px]] | [[File:lid_driven_contour_Re100.png|600px]] | ||
Revision as of 15:30, 22 October 2017
Basics
back to Fluid Mechanics
Let's try MLSM and described solution procedures first on a lid driven cavity problem that stands for a standard benchmark test for validation of the fluid flow solvers. It has been proposed in 1982 and since then solved by many researchers with wide spectra of different numerical methods. The test is still widely studied and used for validation of novel methods and numerical principles. Case is schematically presented in Figure 1 followed by few basic analyses, just to show that things work as they should. Details about comparison can be found in paper
Figure 1: Scheme of a lid driven cavity caseCode
The snippet of the MLSM code for an explicit ACM method with CBS looks like: (full examples, including implicit versions, can be found under the examples in the code repository Main Page).
1 for (int step = 0; step <=O.t_steps; ++step) {
2 // Navier-Stokes
3 for (auto i:interior)
4 // Navier-Stokes
5 v2[c] = v1[c] + O.dt * ( - 1/O.rho * op.grad(P1,c)
6 + O.mu/O.rho * op.lap(v1, c)
7 - op.grad(v1,c)*v1[c]);
8 }
9 // Mass continuity
10 for (auto i:interior) {
11 P2[i] = P1[i] - O.dl * O.dt * O.rho * op.div(v2,i) + O.dl2 * O.dl * O.dt * O.dt * op.lap(P1,i);
12 }
13 v1.swap(v2);
14 P1.swap(P2);
15 }
Results
Figure 2: Velocity magnitude contour plot
Figure 3: Velocity magnitude contour plot
Figure 4: Execution time for Re = 100 case
Figure 5: Convergence for Re = 100 case
Figure 6: Cross section velocity profiles.