Journal ArticleDOI
Conservation equations of gasdynamics in curvilinear coordinate systems
Reads0
Chats0
TLDR
In this article, a method of writing the conservation equations of gasdynamics in curvilinear coordinates which eliminates undifferentiated terms is presented. But the method is only applicable to orthogonal coordinates and not to general tensor transformations.About:
This article is published in Journal of Computational Physics.The article was published on 1974-02-01. It has received 427 citations till now. The article focuses on the topics: Curvilinear coordinates & Orthogonal coordinates.read more
Citations
More filters
Book
Computational fluid dynamics : the basics with applications
TL;DR: A Thomas's algorithm for the solution of a tridiagonal system of Equations is described in this paper, as well as a detailed discussion of the future of Computational Fluid Dynamics.
Journal ArticleDOI
A diagonal form of an implicit approximate-factorization algorithm
Thomas H. Pulliam,D.S Chaussee +1 more
TL;DR: The modification transforms the coupled system of equations into an uncoupled diagonal form that requires less computational work and has an important effect on the application of implicit finite-difference schemes to vector processors.
Journal ArticleDOI
Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
P. D. Thomas,C. K. Lombard +1 more
TL;DR: In this article, a geometric conservation law (GCL) is formulated that governs the spatial volume element under an arbitrary mapping and the GCL is solved numerically along with the flow conservation laws using conservative difference operators.
Journal ArticleDOI
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Miguel R. Visbal,Datta Gaitonde +1 more
TL;DR: A simple technique is adopted which ensures metric cancellation and thus ensures freestream preservation even on highly distorted curvilinear meshes, and metric cancellation is guaranteed regardless of the manner in which grid speeds are defined.
Journal ArticleDOI
Implicit Finite-Difference Simulations of Three-Dimensional Compressible Flow
TL;DR: In this article, an implicit finite-difference procedure for unsteady 3D flow capable of handling arbitrary geometry through the use of general coordinate transformations is described, where viscous effects are optionally incorporated with a "thin-layer" approximation of the Navier-Stokes equations.
References
More filters
Journal ArticleDOI
Difference Methods for Initial-Value Problems.
Difference methods for initial-value problems
Robert D. Richtmyer,K. W. Morton +1 more
TL;DR: In this article, differentielles and stabilite were used for differentiable transport in the context of transfert de chaleur and ondes Reference Record created on 2005-11-18, modified on 2016-08-08
Book ChapterDOI
Numerical solution of the interaction of a shock wave with a laminar boundary layer
TL;DR: In this paper, a modified Lax-Wendroff difference technique was used to detect shock wave interaction with laminar boundary layer on flat plate using modified Lazy Lazy Wasserstein difference technique.
Journal ArticleDOI
Difference Methods for Initial-Value Problems
Robert D. Richtmyer,K. W. Morton +1 more
Journal ArticleDOI
Time-Split Finite-Volume Method for Three-Dimensional Blunt-Body Flow
Arthur W. Rizzi,Mamoru Inouye +1 more
TL;DR: In this paper, an efficient numerical method for calculating plane, axisymmetric, and fully three-dimensional blunt-body flow is presented, which is a second-order-accurate, time-dependent finite-volume procedure that solves the Euler equations in integral conservation-law form.
Related Papers (5)
An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
A diagonal form of an implicit approximate-factorization algorithm
Thomas H. Pulliam,D.S Chaussee +1 more