Results 51 to 60 of about 3,034,852 (247)
Projection methods for incompressible flow problems with WENO finite difference schemes [PDF]
Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary con\-vec\-tion-diffusion equations [20].
de Frutos, Javier +3 more
core +1 more source
Modelling shock-induced instabilities, transition and turbulent mixing using high-order methods [PDF]
High-order numerical methods have been considered and implemented in order to assess their applicability in a range of complex ows centering on shockinduced turbulent mixing.
Mosedale, Andrew Daniel
core +2 more sources
WENO SCHEMES FOR SOLUTION OF UNSTEADY ONE-DIMENSIONAL GAS DYNAMICS TEST PROBLEMS [PDF]
Creation of test solutions is an essential element in the general design contents for numerical methods aimed at integration of Euler equations. We consider numerical solution of Euler equations describing flows of inviscid compressible gas and allowing ...
P. V. Bulat, K. N. Volkov
doaj +1 more source
A high order compact scheme for hypersonic aerothermodynamics [PDF]
A novel high order compact scheme for solving the compressible Navier-Stokes equations has been developed. The scheme is an extension of a method originally proposed for solving the Euler equations, and combines several techniques for the solution of ...
Emerson, David +2 more
core +3 more sources
The Finite Volume WENO with Lax–Wendroff Scheme for Nonlinear System of Euler Equations
We develop a Lax–Wendroff scheme on time discretization procedure for finite volume weighted essentially non-oscillatory schemes, which is used to simulate hyperbolic conservation law.
Haoyu Dong, Changna Lu, Hongwei Yang
doaj +1 more source
ONE-DIMENSIONAL GAS DYNAMICS PROBLEMS AND THEIR SOLUTION BASED ON HIGH-RESOLUTION FINITE DIFFERENCE SCHEMES [PDF]
One-dimensional unsteady gas dynamics problems are revealing tests for the accuracy estimation of numerical solution with respect to simulation of supersonic flows of inviscid compressible gas.
P. V. Bulat, K. N. Volkov
doaj +1 more source
Review on non-polynomial high-order accuracy nonlinear weighted schemes
In comparison to linear schemes, the nonlinear errors inherent in polynomial-based high-order nonlinear weighted schemes significantly affect the resolution when solving weak solutions of hyperbolic conservation laws. To mitigate this impact, researchers
Haomin Li +4 more
doaj +1 more source
Motivated by the high-resolution properties of high-order Weighted Essentially Non-Oscillatory (WENO) and flux limiter (FL) for steep-gradient problems and the robust convergence of Jacobian-free Newton-Krylov (JFNK) methods for nonlinear systems, the ...
Xiafeng Zhou +3 more
doaj +1 more source
In this paper, we continue our work in [46] and propose a new type of high-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) schemes to solve hyperbolic conservation laws on triangular meshes.
Jun Zhu, Chi-Wang Shu
semanticscholar +1 more source
In this work the essentially non-oscillatory schemes (ENO) and the weighted essentially non-oscillatory schemes (WENO) are implemented in a cell centered finite volume context on unstructured grids. The 2-D Euler equations will be considered to represent
W.R. Wolf, J.L.F. Azevedo
doaj +1 more source

