M
Mark H. Carpenter
Researcher at Langley Research Center
Publications - 120
Citations - 9282
Mark H. Carpenter is an academic researcher from Langley Research Center. The author has contributed to research in topics: Finite difference method & Boundary value problem. The author has an hindex of 41, co-authored 119 publications receiving 8211 citations. Previous affiliations of Mark H. Carpenter include Brown University.
Papers
More filters
Posted Content
Stable and Accurate Interpolation Operators for High-Order Multi-Block Finite-Difference Methods
Ken Mattsson,Mark H. Carpenter +1 more
TL;DR: Block-to-block interface interpolation operators are constructed for several common high-order finite difference discretizations that maintain the strict stability, accuracy, and conservation properties of the base scheme even when nonconforming grids or dissimilar operators are used in adjoining blocks.
Journal ArticleDOI
Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
TL;DR: Non-linear stability and a summation-by-parts framework are used to derive entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations and a semi-discrete entropy estimate for the entire domain is achieved.
Journal ArticleDOI
Stable and accurate boundary treatments for compact, high-order finite-difference schemes
TL;DR: The stability characteristics of various compact fourth-and sixth-order spatial operators were used to assess the theory of Gustafsson, Kreiss and Sundstrom (G-K-S) for the semidiscrete initial boundary value problem (IBVP) as mentioned in this paper.
Journal ArticleDOI
Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
Ken Mattsson,Mark H. Carpenter +1 more
TL;DR: In this article, a block-to-block interface interpolation operator is constructed for several common high-order finite difference discretizations, maintaining the strict stability, accuracy, and conservation properties of the base scheme even when nonconforming grids or dissimilar operators are used in adjoining blocks.
Diagonally Implicit Runge-Kutta Methods for Ordinary Differential Equations. A Review
TL;DR: A review of diagonally implicit Runge-Kutta (DIRK) methods applied to rst-order ordinary di erential equations (ODEs) is undertaken and ESDIRK4(3)6L[2]SA is recommended as a good default method for solving sti problems at moderate error tolerances.