This paper presents a new discretization scheme for hyperbolic systems of conservation laws. It satisfies the TVD property and relies on the new high-resolution mechanism which is compatible with the genuinely multidimensional approach proposed recently. This work can be regarded as a first step towards extending the genuinely multidimensional approach to unsteady problems. Discontinuity captur...

This paper is dzclnred a work of the U.S. Co\ernrnenl and i s not subjecl l o copyright protection in Ihe United Stales. f l u x d i f f e r e n c e s i n ou r case) t o meet such r e q u i r e ments as ( 1 ) y i e l d i n g monotonic and sharp rep re s e n t a t i o n o f jumps. and ( 2 ) s a t l s f y i n g t h e en t ropy c o n d i t l o n so as t o a u t o m a t i c a l l y s e l e c t p h ...

This paper describes the development of the stream-tube based dispersion model for modeling contaminant transport in open channels. The operator-splitting technique is employed to separate the 2D contaminant transport equation into the pure advection and pure dispersion equations. Then the total variation diminishing (TVD) schemes are combined with the second-order Lax-Wendroff and third–order ...

The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are compared both theoretically and numerically.

In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...

We present a discontinuous Galerkin (DG) scheme with suitable quadrature rules [15] for ideal compressible magnetohydrodynamic (MHD) equations on structural meshes. The semi-discrete scheme is analyzed to be entropy stable by using the symmetrizable version of the equations as introduced by Godunov [32], the entropy stable DG framework with suitable quadrature rules [15], the entropy conservati...

In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract In this paper a TVD scheme is applied to the computation of the turbulent connned co-ow jet in a 2D planar duct. This scheme is formally third-order accurate, free from numerical oscillations while keeping sharp gradients steep, and can be quite easily applied to incompressible turbulent ow comp...