Journal Article10.1016/0168-9274(86)90002-4
Implicit solution methods in computational fluid dynamics
46
TL;DR: The development and analysis of various aspects of this class of schemes will be given along with the motivations behind many of the choices and various acceleration and efficiency modifications such as matrix reduction, diagonalization and flux split schemes are presented.
read more
About: This article is published in Applied Numerical Mathematics. The article was published on 01 Dec 1986. The article focuses on the topics: Generalized coordinates & Euler equations.
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
Numerical experiments on the flow past A circular cylinder at sub-critical reynolds number
Patrick Beaudan,Parviz Moin +1 more
- 01 Jan 1994
TL;DR: In this article, the performance of the dynamic subgrid-scale eddy-viscosity model and the suitability of high-order accurate, upwind-biased numerical methods for large eddy simulations of complex flows are investigated in the case of the turbulent wake behind a circular cylinder at Reynolds number 3,900, based on freestream velocity and cylinder diameter.
Recent improvements in efficiency, accuracy, and convergence for implicit approximate factorization algorithms. [computational fluid dynamics
T. H. Pulliam,J. L. Steger +1 more
- 01 Jan 1985
TL;DR: It is found that using established and simple procedures, a computer code can be maintained which is competitive with specialized codes.
139
A Multi-Code Python-Based Infrastructure for Overset CFD with Adaptive Cartesian Grids
Andrew M. Wissink,Jayanarayanan Sitaraman,Venkateswaran Sankaran,Dimitri J. Mavriplis,Thomas H. Pulliam +4 more
- 07 Jan 2008
TL;DR: A computational infrastructure that supports Chimera-based interfacing of different CFD solvers a body-fitted unstructured grid solvers with a blockstructured adaptive cartesian grid solver to perform time-dependent adaptive movingbody CFD calculations of external aerodynamics is described.
96
Validation of the Strand Grid Approach
Andrew M. Wissink,Aaron Katz,William M. Chan,Robert L. Meakin +3 more
- 22 Jun 2009
TL;DR: In this paper, a prismatic-like grid using "strands" is grown a short distance from the body surface to capture the viscous boundary layer, and adaptive Cartesian grids are used throughout the rest of the domain.
53
Numerical simulations of oblique detonations in supersonic combustion chambers
TL;DR: In this article, an inviscid, two-dimensional numerical scheme coupled to the detailed reaction kinetics of combustion was developed for the oblique detonation wave engine, which couples the chemistry via an operator-splitting method.
40
References
Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes
Antony Jameson,Wolfgang Schmidt,Eli Turkel +2 more
- 01 Jun 1981
TL;DR: In this paper, a new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains.
4.4K
•Book
High resolution schemes for hyperbolic conservation laws
Ami Harten
- 24 Aug 2011
TL;DR: In this article, a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented, which are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
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
Flux-vector splitting for the Euler equations
B. Van Leer
- 01 Jan 1982
TL;DR: When approximating a hyperbolic system of conservation laws w t + {f(w)} t = 0 with so-called upwind differences, one must determine in which direction each of a variety of signals moves through the computational grid.
1.7K
The Effect of Viscosity in Hypervelocity Impact Cratering
TL;DR: In this paper, a numerical method for time dependent compressible Navier-Stokes equations applied to axisymmetric flow field produced by hypervelocity impact, examining viscous effects is presented.
1.3K