Discrete filtering of numerical solutions to hyperbolic conservation laws

被引:7
|
作者
Bürgel, A [1 ]
Sonar, T [1 ]
机构
[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Anal, D-38106 Braunschweig, Germany
关键词
discrete filtering; TV filter; image processing;
D O I
10.1002/fld.276
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the framework of finite volume approximations to the Euler equations of gas dynamics we introduce computationally cheap difference schemes in addition with efficient discrete filter operators correcting discrete values locally. After presentation of a classical discrete filter algorithm we describe for the first time the implementation of a TV filter, originally developed in signal and image processing, in the context of hyperbolic conservation laws on unstructured grids. Copyright (C) 2002 John Wiley Sons, Ltd.
引用
收藏
页码:263 / 271
页数:9
相关论文
共 50 条
  • [1] Filtering shocks in discrete approximations to hyperbolic conservation laws
    Nicola, Aurelian
    ROMANIAN JOURNAL OF PHYSICS, 2007, 52 (5-7): : 525 - 532
  • [2] Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
    Fjordholm, U. S.
    Lye, K.
    Mishra, S.
    Weber, F.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020, 30 (03): : 539 - 609
  • [3] A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws
    Bressan, Alberto
    Chiri, Maria Teresa
    Shen, Wen
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 241 (01) : 357 - 402
  • [4] Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
    Fjordholm, U.S.
    Lye, K.
    Mishra, S.
    Weber, F.
    Mathematical Models and Methods in Applied Sciences, 2020, 30 (03) : 539 - 609
  • [5] A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws
    Alberto Bressan
    Maria Teresa Chiri
    Wen Shen
    Archive for Rational Mechanics and Analysis, 2021, 241 : 357 - 402
  • [6] From continuous recovery to discrete filtering in numerical approximations of conservation laws
    Bürgel, A
    Grahs, T
    Sonar, T
    APPLIED NUMERICAL MATHEMATICS, 2002, 42 (1-3) : 47 - 60
  • [7] DECAY OF SOLUTIONS TO HYPERBOLIC CONSERVATION LAWS
    DIPERNA, RJ
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A127 - A127
  • [8] Data analysis and entropy steered discrete filtering for the numerical treatment of conservation laws
    Grahs, T
    Sonar, T
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (3-4) : 353 - +
  • [9] NUMERICAL-SOLUTIONS OF SHOCK CURVES OF HYPERBOLIC 1-CONSERVATION LAWS
    CHANG, PH
    MATHEMATICAL MODELLING, 1983, 4 (04): : 349 - 360
  • [10] Numerical schemes for networks of hyperbolic conservation laws
    Borsche, Raul
    APPLIED NUMERICAL MATHEMATICS, 2016, 108 : 157 - 170