Space--time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations

摘要: Adaptive strategies in space and time allow considerable speed-up of finite volume schemes for conservation laws, while controlling the accuracy discretization. In this paper, a multiresolution technique with explicit discretization is presented. An adaptive grid introduced by suitable thresholding wavelet coefficients, which maintains scheme regular grid. Further obtained local scale-dependent stepping, i.e., on large scales larger steps can be used without violating stability condition scheme. Furthermore, an estimation truncation error time, using embedded Runge-Kutta type schemes, guarantees control step given precision. The efficiency fully method illustrated applications compressible Euler equations one two dimensions.