High order finite point method for the solution to the sound propagation problems

DOI10.1016/j.cma.2014.07.022zbMath1423.76207OpenAlexW2077080505MaRDI QIDQ1668752

Jaroslav Bajko, Miroslav Jícha, Libor Čermák

Publication date: 29 August 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.07.022

zbMATH Keywords

computational aeroacousticslinearized Euler equationsfinite point methodacoustic pulse problem

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

A finite point algorithm for soil water-salt movement equation ⋮ Finite point method of nonlinear convection diffusion equation ⋮ The meshless finite point method for transient elastodynamic problems ⋮ A very accurate arbitrary Lagrangian-Eulerian meshless method for computational aeroacoustics ⋮ Stabilization of a meshless method via weighted least squares filtering

Uses Software

• Mfree2D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A posteriori error estimator and an adaptive technique in meshless finite points method
• Higher order discontinuous Galerkin method for acoustic pulse problem
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Aeroacoustic study of a forward facing step using linearized Euler equations
• High-order finite volume methods and multiresolution reproducing kernels
• A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks
• Resolution of computational aeroacoustics problems on unstructured grids with a higher-order finite volume scheme
• An improved finite point method for tridimensional potential flows
• Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• An improved localized radial basis function meshless method for computational aeroacoustics
• An improved collocation meshless method based on the variable shaped radial basis function for the solution of the interior acoustic problems
• High-resolution finite volume methods on unstructured grids for turbulence and aeroacoustics
• An adaptive finite point method for the shallow water equations
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• A finite point method for compressible flow
• A finite point method for adaptive three‐dimensional compressible flow calculations
• M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>