Book Review: High-order methods for incompressible fluid flow
نویسندگان
چکیده
منابع مشابه
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
In this paper, we propose a semi-Lagrangian finite difference formulation for approximating conservative form of advection equations with general variable coefficients. Compared with the traditional semi-Lagrangian finite difference schemes [4, 21], which approximate the advective form of the equation via direct characteristics tracing, the scheme proposed in this paper approximates the conserv...
متن کاملHigh-order Discontinuous Galerkin Methods for Incompressible Flows
Abstract. The spatial discretization of the unsteady incompressible Navier-Stokes equations is stated as a system of Differential Algebraic Equations (DAEs), corresponding to the conservation of momentum equation plus the constraint due to the incompressibility condition. Runge-Kutta methods applied to the solution of the resulting index-2 DAE system are analyzed, allowing a critical comparison...
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The animation of fluids is a topic of great interest in the computer animation community. The common familiarity with real-world fluid motion and the difficulty in achieving this motion combines to make the problem exceptionally challenging — everyone knows what fluid should look like, but animating it convincingly by hand is difficult. To achieve realistic fluid motion, researchers have been g...
متن کاملInterfacial gauge methods for incompressible fluid dynamics
Designing numerical methods for incompressible fluid flow involving moving interfaces, for example, in the computational modeling of bubble dynamics, swimming organisms, or surface waves, presents challenges due to the coupling of interfacial forces with incompressibility constraints. A class of methods, denoted interfacial gauge methods, is introduced for computing solutions to the correspondi...
متن کاملHigh-order LES modeling of turbulent incompressible flow
The paper presents the high-order algorithms that we have developed for the large-eddy simulation of incompressible flows and the results that have been obtained for the 3D turbulent wake of a cylinder at a Reynolds number of Re = 3900. c © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS Large-eddy simulation/ Spectral methods/ Wake flows/ Simulation des grandes éche...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2003
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-03-01670-3