Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver
نویسندگان
چکیده
منابع مشابه
Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver
We focus on robust and efficient iterative solvers for the pressure Poisson equation in incompressible Navier-Stokes problems. Preconditioned Krylov subspace methods are popular for these problems, with BiCGStab and GMRES(m) most frequently used for nonsymmetric systems. BiCGStab is popular because it has cheap iterations, but it may fail for stiff problems, especially early on as the initial g...
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The most popular iterative linear solvers in Computational Fluid Dynamics (CFD) calculations are restarted GMRES and BiCGStab. At the beginning of most incompressible flow calculations, the computation time and the number of iterations to converge for the pressure Poisson equation are quite high, since the initial guess is far from the solution. In this case, the BiCGStab algorithm, with relati...
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Many problems in engineering and physics require the solution of a large sequence of linear systems. We can reduce the cost of solving subsequent systems in the sequence by recycling information from previous systems. We consider two di erent approaches. For several model problems, we demonstrate that we can reduce the iteration count required to solve a linear system by a factor of two. We con...
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by iterative methods based on recycling Krylov subspaces. We propose two recycling algorithms, which are both based on the generalized conjugate residual (GCR) method. The recycling methods reuse the descent vectors computed while solving the previous linear systems Ax = bj , j = 1, 2, . . . , i − 1, such that a lot of computational work can be saved when solving the current system Ax = bi. Whe...
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After the spatial discretization of the neutron diffusion equation, a semidiscrete system of ordinary differential equations is obtained. This is a stiff system of differential equations, where the matrices involved are large and sparse. Usually, this system is solved using an implicit time discretization, which implies to solve an algebraic system of linear equations for this time step. This t...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2015
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2015.09.040