Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
Abstract Summation-by-parts (SBP) operators have a number of properties that make them
an attractive option for higher-order spatial discretizations of partial differential equations. In …
an attractive option for higher-order spatial discretizations of partial differential equations. In …
Computational aeroacoustics: progress on nonlinear problems of sound generation
Computational approaches are being developed to study a range of problems in
aeroacoustics. These aeroacoustic problems may be classified based on the physical …
aeroacoustics. These aeroacoustic problems may be classified based on the physical …
Review of summation-by-parts schemes for initial–boundary-value problems
High-order finite difference methods are efficient, easy to program, scale well in multiple
dimensions and can be modified locally for various reasons (such as shock treatment for …
dimensions and can be modified locally for various reasons (such as shock treatment for …
Modeling artificial boundary conditions for compressible flow
T Colonius - Annu. Rev. Fluid Mech., 2004 - annualreviews.org
▪ Abstract We review artificial boundary conditions (BCs) for simulation of inflow, outflow, and
far-field (radiation) problems, with an emphasis on techniques suitable for compressible …
far-field (radiation) problems, with an emphasis on techniques suitable for compressible …
A stable high-order finite difference scheme for the compressible Navier–Stokes equations, far-field boundary conditions
We construct a stable high-order finite difference scheme for the compressible Navier–
Stokes equations, that satisfy an energy estimate. The equations are discretized with high …
Stokes equations, that satisfy an energy estimate. The equations are discretized with high …
On the order of accuracy for difference approximations of initial-boundary value problems
Finite difference approximations of the second derivative in space appearing in, parabolic,
incompletely parabolic systems of, and 2nd-order hyperbolic, partial differential equations …
incompletely parabolic systems of, and 2nd-order hyperbolic, partial differential equations …
[HTML][HTML] Continuum and discrete initial-boundary value problems and Einstein's field equations
Many evolution problems in physics are described by partial differential equations on an
infinite domain; therefore, one is interested in the solutions to such problems for a given …
infinite domain; therefore, one is interested in the solutions to such problems for a given …
A stable high-order finite difference scheme for the compressible Navier–Stokes equations: no-slip wall boundary conditions
A stable wall boundary procedure is derived for the discretized compressible Navier–Stokes
equations. The procedure leads to an energy estimate for the linearized equations. We …
equations. The procedure leads to an energy estimate for the linearized equations. We …
A stable and conservative high order multi-block method for the compressible Navier–Stokes equations
J Nordström, J Gong, E Van der Weide… - Journal of Computational …, 2009 - Elsevier
A stable and conservative high order multi-block method for the time-dependent
compressible Navier–Stokes equations has been developed. Stability and conservation are …
compressible Navier–Stokes equations has been developed. Stability and conservation are …
Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods
We develop a stable and high-order accurate finite difference method for problems in
earthquake rupture dynamics in complex geometries with multiple faults. The bulk material is …
earthquake rupture dynamics in complex geometries with multiple faults. The bulk material is …