Compact schemes for acoustics in the frequency domain

DOI10.1016/S0895-7177(03)90044-6zbMath1053.76048OpenAlexW2083733917MaRDI QIDQ597418

Seongjai Kim

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(03)90044-6

zbMATH Keywords

Helmholtz equationabsorbing boundary conditionsfourth-order scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05)

Related Items

Convergence of compact ADI method for solving linear Schrödinger equations ⋮ A fast and efficient two-grid method for solving \(d\)-dimensional Poisson equations ⋮ Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions ⋮ Stable rotational symmetric schemes for nonlinear reaction-diffusion equations ⋮ High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods ⋮ High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation ⋮ Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations ⋮ Compact optimal quadratic spline collocation methods for the Helmholtz equation ⋮ High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods ⋮ A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation ⋮ A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation ⋮ The use of compact boundary value method for the solution of two-dimensional Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
• Extension of high-order compact schemes to time-dependent problems
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients
• On convergence and performance of iterative methods with fourth-order compact schemes
• Optimal injection operator and high order schemes for multigrid solution of 3D poisson equation
• Multigrid Simulation for High-Frequency Solutions of the Helmholtz Problem in Heterogeneous Media