Journal ArticleDOI
Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: one-dimensional flow
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In this paper, a semi-implicit low Mach number extension of an explicit higher order shock-capturing scheme is presented. But the authors do not consider the effect of the low Mach numbers on the behavior of the compressible Euler equations.About:
This article is published in Journal of Computational Physics.The article was published on 1995-10-15. It has received 307 citations till now. The article focuses on the topics: Mach number & Pressure-correction method.read more
Citations
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Journal ArticleDOI
On the behaviour of upwind schemes in the low Mach number limit
Hervé Guillard,Cécile Viozat +1 more
TL;DR: In this article, an asymptotic analysis in power of the Mach number of the flux difference splitting approximation of the compressible Euler equations in the low Mach number limit is presented.
Journal ArticleDOI
An improved reconstruction method for compressible flows with low Mach number features
TL;DR: Numerical tests demonstrate that the new scheme captures shock waves well, significantly improves resolution of low Mach number features and greatly reduces high wave number dissipation in the case of homogeneous decaying turbulence and Richtmyer-Meshkov mixing.
Journal ArticleDOI
Low Mach Number Limit of the Full Navier-Stokes Equations
TL;DR: In this article, the authors studied the low Mach number limit for the Navier-Stokes equations and proved that solutions exist and they are uniformly bounded for a time interval which is independent of the Mach number Ma ∈ (0,1), the Reynolds number Re ∈ [1,+∞] and the Peclet number Pe ∈
Journal ArticleDOI
Systematic Multiscale Models for the Tropics
Andrew J. Majda,Rupert Klein +1 more
TL;DR: In this paper, a self-consistent quasi-linear interaction of synoptic scale generalized steady Matsuno-Webster-Gill models with planetary scale dynamics of equatorial long waves is proposed.
References
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Book
Numerical heat transfer and fluid flow
TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Journal ArticleDOI
Numerical solution of the Navier-Stokes equations
TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
Book
Numerical methods for conservation laws
TL;DR: In this paper, the authors describe the derivation of conservation laws and apply them to linear systems, including the linear advection equation, the Euler equation, and the Riemann problem.
Journal ArticleDOI
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
TL;DR: This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes.
Journal ArticleDOI
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
TL;DR: Fromm's second-order scheme for integrating the linear convection equation is made monotonic through the inclusion of nonlinear feedback terms in this paper, where care is taken to keep the scheme in conservation form.
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Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
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