Numerical investigation of compact grid-characteristic schemes for acoustic problems
В. И. Голубев, A. V. Shevchenko, Н. И. Хохлов, И. С. Никитин
Abstract
Abstract In this paper, an acoustic approximation is considered, which allows to describe the propagation of longitudinal waves in geological media. For the two-dimensional case, a compact numerical scheme is described that provides an increased approximation order on a two-point spatial stencil. To construct it, we used the method of splitting along coordinate axes and the differential continuation of the original system of equations. A number of numerical tests have been carried out, confirming the increased order of approximation.
Topics & Concepts
StencilContinuationGridPoint (geometry)Numerical analysisMathematical analysisScheme (mathematics)MathematicsOrder of accuracyComputer scienceGeometryNumerical stabilityProgramming languageComputational scienceGeotechnical and Geomechanical EngineeringClimate change and permafrostSeismic Imaging and Inversion Techniques