Optimized compact-difference-based finite-volume schemes for linear wave phenomena

DOI10.1006/jcph.1997.5836zbMath0898.65055OpenAlexW2056361319MaRDI QIDQ1383035

Datta V. Gaitonde, Joseph S. Shang

Publication date: 1 November 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5836

zbMATH Keywords

performancestabilitynumerical examplesMaxwell's equationsRunge-Kutta methodtime evolutionfinite-volume schemescompact-difference methods

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Electromagnetic theory (general) (78A25) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A new finite volume scheme for solving Maxwell’s system, New hybrid compact schemes for structured irregular meshes using Birkhoff polynomial basis, Fourth order compact finite volume scheme on nonuniform grids with multi-blocking, An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries, A finite volume formulation of compact central schemes on arbitrary structured grids, A new alternating bi-diagonal compact scheme for non-uniform grids, A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations, Compact upwind schemes on adaptive octrees, An accurate finite-volume formulation of a residual-based compact scheme for unsteady compressible flows, Optimised boundary compact finite difference schemes for computational aeroacoustics, A characteristic-based shock-capturing scheme for hyperbolic problems, Numerical anisotropy in finite differencing, Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids, Hybrid sixth order spatial discretization scheme for non-uniform Cartesian grids, HWENO schemes based on compact difference for hyperbolic conservation laws, Solving schemes for computational magneto-aerodynamics, High-order compact finite difference methods for solving the high-dimensional Helmholtz equations, A maximum-principle-satisfying high-order finite volume compact WENO scheme for scalar conservation laws with applications in incompressible flows, Direct computation of the noise induced by a turbulent flow through a diaphragm in a duct at low Mach number, Wavenumber-extended high-order oscillation control finite volume schemes for multi-dimensional aeroacoustic computations, Optimized prefactored compact schemes., Analysis of central and upwind compact schemes., On a class of Padé finite volume methods, Implicit, high-resolution, compact schemes for gas dynamics and aeroacoustics, New optimized fourth-order compact finite difference schemes for wave propagation phenomena, Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics, Developing high-order weighted compact nonlinear schemes, A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions, Symmetrized compact scheme for receptivity study of 2D transitional channel flow, A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences, A new flux-vector splitting compact finite volume scheme, Finite volume formulation of compact upwind and central schemes with artificial selective damping, Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation, Curvilinear finite-volume schemes using high-order compact interpolation, A 2D compact fourth-order projection decomposition method, HIGH-ORDER ACCURATE NUMERICAL SCHEMES FOR THE PARABOLIC EQUATION, Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity, Computational Aeroacoustics: An Overview of Computational Challenges and Applications, High-order compact-difference schemes for time-dependent Maxwell equations, A new type of high-order finite difference compact reconstruction multi-resolution WENO scheme for nonlinear degenerate parabolic equations, Conservative hybrid compact-WENO schemes for shock-turbulence interaction, A new compact spectral scheme for turbulence simulations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Compact finite difference schemes with spectral-like resolution
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Highly accurate compact implicit methods and boundary conditions
• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Finite difference schemes for long-time integration
• On the stability definition of difference approximations for the initial boundary value problem
• Fourth-order difference methods for hyperbolic IBVPs
• A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Analysis of Error Control Strategies for Continuous Runge–Kutta Methods
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Characteristic-based, time-dependent Maxwell equation solvers on a general curvilinear frame
• Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
• Economical Evaluation of Runge-Kutta Formulae