STABLE AND ACCURATE INTERPOLATION OPERATORS FOR HIGH-ORDER MULTIBLOCK FINITE DIFFERENCE METHODS

被引：76

作者：

Mattsson, K. ^{[1
]}

Carpenter, Mark H. ^{[2
]}

机构：

[1] Swedish Def Res Agcy, Dept Underwater Res, SE-16490 Stockholm, Sweden

[2] NASA, Langley Res Ctr, Computat Modeling & Simulat Branch, Hampton, VA 23681 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2010年 / 32卷 / 04期

关键词：

high-order finite difference methods; block interface; numerical stability; interpolation; adaptive grids; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; BY-PARTS OPERATORS; DISCONTINUOUS MEDIA; WAVE-PROPAGATION; SUMMATION; SCHEMES; APPROXIMATIONS; STABILITY; DISSIPATION;

D O I：

10.1137/090750068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Block-to-block interface interpolation operators are constructed for several common high-order finite difference discretizations. In contrast to conventional interpolation operators, these new interpolation operators maintain the strict stability, accuracy, and conservation properties of the base scheme even when nonconforming grids or dissimilar operators are used in adjoining blocks. The stability properties of the new operators are verified using eigenvalue analysis, and the accuracy properties are verified using numerical simulations of the Euler equations in two spatial dimensions.

引用

页码：2298 / 2320

页数：23

共 50 条

[1] STABLE COUPLING OF NONCONFORMING, HIGH-ORDER FINITE DIFFERENCE METHODS
Kozdon, Jeremy E.
Wilcox, Lucas C.
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 38 (02): : A923 - A952
[2] High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
[J]. arXiv, 2020,
[3] High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
Duan, Junming
Tang, Huazhong
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 431
[4] STABLE AND ACCURATE BOUNDARY TREATMENTS FOR COMPACT, HIGH-ORDER FINITE-DIFFERENCE SCHEMES
CARPENTER, MH
GOTTLIEB, D
ABARBANEL, S
[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 12 (1-3) : 55 - 87
[5] A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations
Nchupang, Mojalefa P.
Malan, Arnaud G.
Lauren, Fredrik
Nordstrom, Jan
[J]. COMPUTERS & FLUIDS, 2023, 267
[6] Energy stable and high-order-accurate finite difference methods on staggered grids
O'Reilly, Ossian
Lundquist, Tomas
Dunham, Eric M.
Nordstrom, Jan
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 346 : 572 - 589
[7] High-order finite difference methods for the Helmholtz equation
Singer, I
Turkel, E
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 163 (1-4) : 343 - 358
[8] High-order accurate difference potentials methods for parabolic problems
Albright, Jason
Epshteyn, Yekaterina
Steffen, Kyle R.
[J]. APPLIED NUMERICAL MATHEMATICS, 2015, 93 : 87 - 106
[9] HIGH-ORDER FINITE-DIFFERENCE METHODS FOR POISSONS EQUATION
VANLINDE, HJ
[J]. MATHEMATICS OF COMPUTATION, 1974, 28 (126) : 369 - 391
[10] High-order finite-difference methods in computational electromagnetics
Zingg, DW
[J]. IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM 1997, VOLS 1-4, 1997, : 110 - 113

← 1 2 3 4 5 →