A parallel block-preconditioned GCR method for incompressible flow problems
نویسندگان
چکیده
منابع مشابه
A parallel block-preconditioned GCR method for incompressible flow problems
Efficient parallel algorithms are required to simulate incompressible turbulent flows in complex twoand three-dimensional domains. The incompressible Navier–Stokes equations are discretized in general coordinates on a structured grid. For a flow on a general domain we use an unstructured decomposition of the domain into subdomains of simple shape, with a structured grid inside each subdomain. W...
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The parallel implementation of GCR is addressed, with particular focus on communication costs associated with orthogonalization processes. This consideration brings up questions concerning the use of Householder reflections with GCR. To precondition the GCR method a block Gauss-Jacobi method is used. Approximate solvers are used to obtain a solution of the diagonal blocks. Experiments on a clus...
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Problem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are perfor...
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We consider time-dependent flow problems discretized with higher order finite element methods. Applying a fully implicit time discretization or an IMEX scheme leads to a saddle point system. This linear system is solved using a preconditioned Krylov method, which is fully parallelized on a distributed memory parallel computer. We study a robust block-triangular preconditioner and beside numeric...
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ژورنال
عنوان ژورنال: Future Generation Computer Systems
سال: 2001
ISSN: 0167-739X
DOI: 10.1016/s0167-739x(00)00073-x