Numerical Navier-Stokes solutions from gas kinetic theory

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1994.1145· OSTI ID:7075963

Xu, Kun; Prendergast, K H ^[1]

---

1. Columbia Univ., New York, NY (United States)

In order to test the gas-kinetic based hydrodynamic scheme given in paper 1 as a Navier-Stokes solver, we extend the scheme to two dimensions and exhibit some Navier-Stokes solutions. The scheme is a high-resolution gas kinetic scheme in both space and time. The advective and diffusive fluxes are coupled and solved at the same time by following the time-dependent velocity distribution function for particles. Numerical results for some well-defined Euler and Navier-Stokes test cases are presented. The Kolmogorov and the laminar boundary layer problems exhibit the dominance of the real viscosity effects. The strong shock interaction test cases show the applicability of the scheme to supersonic gas flow.

• OSTI ID: 7075963
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 114:1; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOLTZMANN EQUATION
CALCULATION METHODS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
GAS FLOW
ITERATIVE METHODS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION