Two dimensional analysis of hybrid spectral/finite difference schemes for linearized compressible Navier-Stokes equations
DOI10.1007/s10915-021-01442-xzbMath1471.65165OpenAlexW3138480198MaRDI QIDQ2023708
Raynold Tan, Andrew Ooi, Richard D. Sandberg
Publication date: 3 May 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01442-x
Fourier analysisfinite differenceFourier spectralexplicit Runge-Kutta (RK) schemescomputational aero-acoustics (CAA)
Navier-Stokes equations (35Q30) 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) Hydro- and aero-acoustics (76Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite difference methods for boundary value problems involving PDEs (65N06) Compressible Navier-Stokes equations (76N06)
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Cites Work
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- A dispersion relation preserving optimized upwind compact difference scheme for high accuracy flow simulations
- Error dynamics of diffusion equation: effects of numerical diffusion and dispersive diffusion
- Spurious waves in discrete computation of wave phenomena and flow problems
- Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods
- High accuracy schemes for DNS and acoustics
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- Analysis of a new high resolution upwind compact scheme
- On the spectral properties of shock-capturing schemes
- Performance analysis and optimization of finite-difference schemes for wave propagation problems
- Multidimensional optimization of finite difference schemes for computational aeroacoustics
- Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics
- Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
- Compact finite difference schemes with spectral-like resolution
- Highly accurate compact implicit methods and boundary conditions
- High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition
- Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
- Analysis of central and upwind compact schemes.
- A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
- Spectral analysis of finite difference schemes for convection diffusion equation
- A comparative study of time advancement methods for solving Navier-Stokes equations
- Effects of numerical anti-diffusion in closed unsteady flows governed by two-dimensional Navier-Stokes equation
- Efficient parallel computing with a compact finite difference scheme
- Error dynamics: Beyond von Neumann analysis
- Analysis of stability and accuracy of finite-difference schemes on a skewed mesh
- Group Velocity in Finite Difference Schemes
- Optimized compact finite difference schemes with maximum resolution
- Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
- Analysis of the anisotropy of group velocity error due to spatial finite difference schemes from the solution of the 2D linear Euler equations