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An Implicit Factored Scheme for the Compressible Navier-Stokes Equations

, 1977
An implicit finite-difference scheme is developed for the numerical solution of the compressible Navier-Stokes equations in conservation- law form. The algorithm is second-order- time accurate, noniterative, and spatially factored.
R. M. Beam, R. F. Warming
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Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method.

Physical Review A. Atomic, Molecular, and Optical Physics, 1992
It is known that the Frisch-Hasslacher-Pomeau lattice-gas automaton model and related models possess some rather unphysical effects. These are (1) a non-Galilean invariance caused by a density-dependent coefficient in the convection term, and (2) a ...
Hudong Chen, Shiyi Chen, W. Matthaeus
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Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations

, 1988
On developpe un schema de relaxation multigrille.
Seokkwan Yoon, A. Jameson
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A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

, 2001
This paper presents an improved gas-kinetic scheme based on the Bhatnagar–Gross–Krook (BGK) model for the compressible Navier–Stokes equations. The current method extends the previous gas-kinetic Navier–Stokes solver developed by Xu and Prendergast ( J ...
K. Xu
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APPLICATION OF GENERALIZED DIFFERENTIAL QUADRATURE TO SOLVE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

, 1992
A global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.
C. Shu, B. Richards
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Initial-Boundary Value Problems and the Navier-Stokes Equations

, 2004
Preface to the Classics Edition Introduction 1. The Navier-Stokes equations 2. Constant-coefficient Cauchy problems 3. Linear variable-coefficient Cauchy problems in 1D 4. A nonlinear example: Burgers' equations 5.
H. Kreiss, J. Lorenz
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Applied analysis of the Navier-Stokes equations: Index

, 1995
The Navier–Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science ...
C. Doering, J. Gibbon
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Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms

Springer Series in Computational Mathematics, 1986
V. Girault, P. Raviart
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Navier-Stokes Equations

Fundamentals of Ship Hydrodynamics, 2019
Tytti Saksa
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