Riemann-Problem and Level-Set Approaches for Homentropic Two-Fluid Flow Computations B. Koren,∗ M. R. Lewis,∗,1 E. H. van Brummelen,∗,2 and B. van Leer†,1 ∗CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands; and †University of Michigan, Department of Aerospace Engineering, Ann Arbor, Michigan 48109-2140 E-mail: [email protected], [email protected], [email protected], and br...

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...

over the last ten years, robustness of schemes has raised an increasing interest among the cfd community. the objective of this article is to solve the quasi-one-dimensional compressible flow inside a “shubin nozzle” and to investigate bean-warming and flux vector splitting methods for numerical solution of compressible flows. two different conditions have been considered: first, there is a sup...

Numerical flux formulas for the convection terms in the Euler or Navier-Stokes equations are analyzed with regard to their accuracy in representing steady nonlinear and linear waves (shocks and entropykhear waves, respectively). Numerical results are obtained for a one-dimensional conical Navier-Stokes flow including both a shock and a boundary layer. Analysis and experiments indicate that for ...

This paper is the final of three related articles that develop and demonstrate a new optimization-based framework for computational modeling. The framework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algori...

Limiters are nonlinear hybridization techniques that are used to preserve positivity and monotonicity when numerically solving hyperbolic conservation laws. Unfortunately, the original methods suffer from the truncation-error being 1 order accurate at all extrema despite the accuracy of the higher-order method [1, 2, 3, 4]. To remedy this problem, higherorder extensions were proposed that relie...

In this paper we use the 10-moment description of fluid flow to compute internal nozzle flow and external flow around a micro-airfoil in the continuum-transition regime. The numerical method used is Hancock’s scheme, a second-order non-oscillatory Godunov-type scheme; the numerical flux function incorporated is of the Harten-Lax-van Leer (HLL) type and due to Linde (HLLL). The numerical solutio...