TVD Fluxes for the High-Order ADER Schemes

被引：0
|
作者：
E. F. Toro
V. A. Titarev
机构：
[1] University of Trento,Laboratory of Applied Mathematics, Faculty of Engineering
[2] University of Trento,Department of Mathematics, Faculty of Science
来源：
Journal of Scientific Computing | 2005年 / 24卷
关键词：
high-order schemes; ADER; essentially non-oscillatory; generalised Riemann problem; flux expansion; TVD flux; WAF flux;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we propose to use a TVD flux, instead of a first-order monotone flux, as the building block for designing very high-order methods; we implement the idea in the context of ADER schemes via a new flux expansion. Systematic assessment of the new schemes shows substantial gains in accuracy; these are particularly evident for problems involving long time evolution
引用
收藏
页码：285 / 309
页数：24
相关论文
共 50 条
  • [31] On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems
    Busto, Saray
    Dumbser, Michael
    Escalante, Cipriano
    Favrie, Nicolas
    Gavrilyuk, Sergey
    JOURNAL OF SCIENTIFIC COMPUTING, 2021, 87 (02)
  • [32] Boundary schemes and asymptotic stability for high-order dissipative compact schemes
    Mao, Meiliang
    Deng, Xiaogang
    Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica, 2000, 18 (02): : 165 - 171
  • [33] High-order fluxes for conservative skew-symmetric-like schemes in structured meshes:: Application to compressible flows
    Ducros, F
    Laporte, F
    Soulères, T
    Guinot, V
    Moinat, P
    Caruelle, B
    JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 161 (01) : 114 - 139
  • [34] Application of High-Order Compact Difference Schemes for Solving Partial Differential Equations with High-Order Derivatives
    Caban, Lena
    Tyliszczak, Artur
    APPLIED SCIENCES-BASEL, 2022, 12 (04):
  • [35] Analysis of ADER and ADER-WAF schemes
    Titarev, V. A.
    Toro, E. F.
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2007, 27 (03) : 616 - 630
  • [36] High-order numerical schemes for jump-SDEs
    Grigo, Alexander
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 354 : 31 - 38
  • [37] Numerical Discretization of Coupling Conditions by High-Order Schemes
    Mapundi K. Banda
    Axel-Stefan Häck
    Michael Herty
    Journal of Scientific Computing, 2016, 69 : 122 - 145
  • [38] Equivalence of the structural schemes of active high-order filters
    Kapustyan, V.I.
    Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika), 1988, 43 (04): : 58 - 60
  • [39] High-order accurate numerical schemes for the parabolic equation
    Flouri, ET
    Ekaterinaris, JA
    Kampanis, NA
    JOURNAL OF COMPUTATIONAL ACOUSTICS, 2005, 13 (04) : 613 - 639
  • [40] Adaptive IMEX schemes for high-order unstructured methods
    Vermeire, Brian C.
    Nadarajah, Siva
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 280 : 261 - 286
12345