Optimal time advancing dispersion relation preserving schemes

DOI10.1016/j.jcp.2010.01.018zbMath1190.65139OpenAlexW2022719045MaRDI QIDQ969437

Manoj K. Rajpoot, Pravir K. Dutt, Tapan K. Sengupta

Publication date: 7 May 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.01.018

zbMATH Keywords

Navier-Stokes equationsnumerical exampleserror propagationcomputational aeroacousticssemidiscretizationspectral methodsconvection equationdispersion relation preserving schemesexplicit Runge-Kutta (RK) schemeslid driven cavity (LDC) problemoptimized Runge-Kutta (ORK) schemes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Navier-Stokes equations (35Q30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

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