Citations
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Vortex simulation of the intake flow in a planar piston-chamber device
TL;DR: In this paper, a numerical scheme based on the application of the vortex method to update the vorticity field and the implementation of the finite element method to satisfy the normal velocity boundary condition inside a complex time-dependent geometry is applied to simulate the flow produced by a piston sliding out of a chamber equipped with single or multiple intakes.
Computational fluid dynamics: its present status and future direction.
TL;DR: The governing equations of fluid dynamics, describing the conservation of mass, momentum, and energy are discussed first and computations of fully viscous flows by numerical solutions of the Navier-Stokes equations are elucidated.
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Computational fluid dynamics: Its present status and future direction
TL;DR: In this paper, a review of advances and advances in numerical fluid dynamics with emphasis on physical aspects in preference to methodical questions is presented, where the governing equations of fluid dynamics, describing the conservation of mass, momentum, and energy are discussed first.
References
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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.
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
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.
Journal ArticleDOI
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.
Journal ArticleDOI
Diagonalization and simultaneous symmetrization of the gas-dynamic matrices
TL;DR: In this paper, it is shown that the individual matrices are simultaneously symmetrized by the similarity transformation and their norms can be applied to the well-posedness of the Cauchy problem, linear stability theory for finite-difference approximations, and simplification of block-tridiagonal systems that arise in implicit time-split algorithms.
Journal ArticleDOI
Multidimensional numerical simulation of reactive flow in internal combustion engines
TL;DR: A selective review of numerical methods for performing multidimensional simulations of the chemically reactive fluid flow in an internal combustion engine cylinder is given in this paper, with a focus on the major areas of numerical difficulty, their physical origins, and the methods that have been proposed for their amelioration.
Related Papers (5)
Axisymmetric Flow Model with and without Swirl in a Piston-Cylinder Arrangement with Idealized Valve Operation
Juan I. Ramos,W. A. Sirignano +1 more