High-Resolution Numerical Algorithm for One-Dimensional Scalar Conservation Laws with a Constrained Solution

被引：0
|
作者：
Goloviznin, V. M. [1 ]
Kanaev, A. A. [1 ]
机构：
[1] Russian Acad Sci, Nucl Safety Inst, Moscow 115191, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 03期
关键词：
CABARET numerical scheme; advection equation with constrained solution; hyperbolic equations; DIFFERENCE-SCHEMES; SYSTEMS; MODEL;
D O I：
10.1134/S0965542512030098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The CABARET computational algorithm is generalized to one-dimensional scalar quasilinear hyperbolic partial differential equations with allowance for inequality constraints on the solution. This generalization can be used to analyze seepage of liquid radioactive wastes through the unsaturated zone. DOI: 10.1134/S0965542512030098
引用
收藏
页码：400 / 410
页数：11
相关论文
共 50 条
  • [1] High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution
    V. M. Goloviznin
    A. A. Kanaev
    Computational Mathematics and Mathematical Physics, 2012, 52 : 400 - 410
  • [2] ONE-DIMENSIONAL SCALAR CONSERVATION LAWS WITH REGULATED DATA
    Jenssen, Helge Kristian
    Ridder, Johanna
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (03) : 3114 - 3130
  • [3] HIGH-ORDER NUMERICAL SCHEMES FOR ONE-DIMENSIONAL NONLOCAL CONSERVATION LAWS
    Chalons, Christophe
    Goatin, Paola
    Villada, Luis M.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 40 (01): : A288 - A305
  • [4] Two a posteriori error estimates for one-dimensional scalar conservation laws
    Gosse, L
    Makridakis, C
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (03) : 964 - 988
  • [5] A GENUINELY HIGH ORDER TOTAL VARIATION DIMINISHING SCHEME FOR ONE-DIMENSIONAL SCALAR CONSERVATION LAWS
    Zhang, Xiangxiong
    Shu, Chi-Wang
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (02) : 772 - 795
  • [6] Numerical Solution of a Scalar One-Dimensional Monotonicity-Preserving Nonlocal Nonlinear Conservation Law
    Qiang DU
    Zhan HUANG
    JournalofMathematicalResearchwithApplications, 2017, 37 (01) : 1 - 18
  • [7] HIGH-RESOLUTION NMR IN ONE-DIMENSIONAL SOLIDS
    MEHRING, M
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1983, 185 (MAR): : 138 - PHYS
  • [8] OSCILLATING WAVES AND OPTIMAL SMOOTHING EFFECT FOR ONE-DIMENSIONAL NONLINEAR SCALAR CONSERVATION LAWS
    Castelli, Pierre
    Junca, Stephane
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2014, 8 : 709 - 716
  • [9] Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
    Andreianov, Boris
    Donadello, Carlotta
    Razafison, Ulrich
    Rosini, Massimiliano D.
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 116 : 309 - 346
  • [10] ON THE NUMERICAL DISSIPATION OF HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS
    MUNZ, CD
    JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 77 (01) : 18 - 39
12345