Book Chapter10.1007/3-540-51048-6_30
An efficient nested iterative method for solving the aerodynamic equations
1
TL;DR: In order to remove the factorization error en efficient nested iterative method, only tridiagonal matrix inversions are needed and amount of computation is much reduced at each time step.
read more
Abstract: Algorithm for solving the difference equations is considered. The difference eq. obtained with approximate factorization for 3-D stable implicit schemes may become unstable or conditionally stable. If proper Jacobian matrix splitting is used stable approximately factored scheme can be obtained. In order to remove the factorization error en efficient nested iterative method is suggested. In this method only tridiagonal matrix inversions are needed. Amount of computation is much reduced at each time step.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Book
11th International Conference on Numerical Methods in Fluid Dynamics
D. L. Dwoyer,M. Y. Hussaini,R. G. Voigt +2 more
- 01 May 1989
TL;DR: An inaugural talk on computational fluid dynamics and a survey that relates dynamical systems, turbulence and numerical solutions of the Navier-Stokes equations give an exciting view on scientific computing and its importance for engineering, physics and mathematics.
55
References
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
TL;DR: The conservation-law form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one as mentioned in this paper, which readily permits the splitting of flux vectors into subvectors by similarity transformations so that each subvector has associated with it a specified eigenvalue spectrum.
2.2K
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
TL;DR: In this article, an implicit finite-difference scheme is developed for the efficient numerical solution of nonlinear hyperbolic systems in conservation-law form, which is second-order time-accurate, noniterative, and in a spatially factored form.
1K
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations
R. M. Beam,R. F. Warming +1 more
- 01 Sep 1976
TL;DR: In this article, an implicit finite-difference scheme is developed for the efficient numerical solution of nonlinear hyperbolic systems in conservation law form, which is second-order time-accurate, noniterative, and in a spatially factored form.