Algebraic Multigrid for Stokes Equations
نویسندگان
چکیده
منابع مشابه
Algebraic Multigrid for Stokes Equations
A method is investigated to solve stationary or time-dependent discrete Stokes equations. It uses one of the standard flavors of algebraic multigrid for coupled partial differential equations, which, however, is not applied directly to the linear system stemming from discretization, but to an equivalent system obtained with a simple algebraic transformation (which may be seen as a form of pre-c...
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We discuss a basic iterative method by solving u and p alternatively. Starting from some initial guess u, p, one iteration going from (u, p) to (u, p) is (1) Fix p, solve for u; (2) Fix u, solve for p. When p is fixed, there are two equations for u. We can first solve the momentum equation to get u (the term B p is moved to the right hand side), i.e., Au = f −B p. But unless p is the exact solu...
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The application of standard multigrid methods for the solution of the Navier-Stokes equations in complicated domains causes problems in two ways. First, coarsening is not possible to full extent since the geometry must be resolved by the coarsest grid used, and second, for semiimplicit time stepping schemes, robustness of the convergence rates is usually not obtained for the arising convection-...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2017
ISSN: 1064-8275,1095-7197
DOI: 10.1137/16m1071419