A Locally Conservative High-Order Least-Squares Formulation in Curvilinear Coordinates

被引：0
|
作者：
Gerritsma, Marc [1 ]
Bochev, Pavel [2 ]
机构：
[1] Delft Univ Technol, NL-2629 HS Delft, Netherlands
[2] Sandia Natl Labs, Computat Math, Albuquerque, NM 87185 USA
来源：
SPECTRAL AND HIGH ORDER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ICOSAHOM 2014 | 2015年 / 106卷
关键词：
SPECTRAL ELEMENT METHOD; MASS-CONSERVATION; MOMENTUM; FLOW;
D O I：
10.1007/978-3-319-19800-2_19
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present a locally conservative spectral least-squares formulation for the scalar diffusion-reaction equation in curvilinear coordinates. Careful selection of a least squares functional and compatible finite dimensional subspaces for the solution space yields the conservation properties. Numerical examples confirm the theoretical properties of the method.
引用
收藏
页码：227 / 235
页数：9
相关论文
共 32 条
  • [21] A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange Multiplier
    Hyun Geun Lee
    Jaemin Shin
    June-Yub Lee
    Journal of Scientific Computing, 2022, 90
  • [22] Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
    Shen, Hua
    Wen, Chih-Yung
    Liu, Kaixin
    Zhang, Deliang
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 : 375 - 402
  • [23] A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen-Cahn Equation with a Nonlocal Lagrange Multiplier
    Lee, Hyun Geun
    Shin, Jaemin
    Lee, June-Yub
    JOURNAL OF SCIENTIFIC COMPUTING, 2022, 90 (01)
  • [24] A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation
    Dzanic, T.
    Witherden, F. D.
    Martinelli, L.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 486
  • [25] Kohn-Vogelius formulation and high-order topological asymptotic formula for identifying small obstacles in a fluid medium
    Barhoumi, Montassar
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2020, 28 (01): : 35 - 59
  • [26] On high-order schemes for the space-fractional conservative Allen-Cahn equations with local and local-nonlocal operators
    Bu, Linlin
    Li, Rui
    Mei, Liquan
    Wang, Ying
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 138
  • [27] Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids
    Abe, Yoshiaki
    Nonomura, Taku
    Iizuka, Nobuyuki
    Fujii, Kozo
    JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 260 : 163 - 203
  • [28] A high-order fully conservative block-centered finite difference method for the time-fractional advection-dispersion equation
    Li, Xiaoli
    Rui, Hongxing
    APPLIED NUMERICAL MATHEMATICS, 2018, 124 : 89 - 109
  • [29] A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements
    Duddu, Ravindra
    Lavier, Luc L.
    Hughes, Thomas J. R.
    Calo, Victor M.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 89 (06) : 762 - 785
  • [30] A parallel high-order compact scheme for the pure streamfunction formulation of the 3D unsteady incompressible Navier-Stokes equation
    Xiao, Zhicheng
    Yu, Peixiang
    Ouyang, Hua
    Zhang, Jiajing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 95
1234