An efficient parallel algorithm with application to computational fluid dynamics.

DOI10.1016/S0898-1221(03)80013-5zbMath1035.65096MaRDI QIDQ1416379

D. Massart

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite difference methodparallel computationEuler equationsParallel algorithmscomputational fluid dynamicsconvection-diffusion equationsDomain decompositionnumerical boundary conditionsExplicit predictorTime lagging

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15)

Related Items (10)

The efficient S-DDM scheme and its analysis for solving parabolic equations ⋮ A heterogeneous non-overlapping domain decomposition explicit finite volume method for a real-time hybrid process-state estimator of 3D unsteady advection-diffusion fields ⋮ An efficient MMOCAA-DDM for solving advection diffusion equations ⋮ Stability analysis of numerical boundary conditions in domain decomposition algorithms. ⋮ The conservative splitting domain decomposition method for multicomponent contamination flows in porous media ⋮ The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations ⋮ The mass-preserving domain decomposition scheme for solving three-dimensional convection-diffusion equations ⋮ A mass-conserved domain decomposition method for the unsaturated soil flow water problem ⋮ Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations ⋮ The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients

Uses Software

• MPI

Cites Work

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• Application and accuracy of the parallel diagonal dominant algorithm
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Solution-domain-decomposition method for heat transfer problem using parallel distributed computing
• Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Numerical Linear Algebra for High-Performance Computers

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