A new Lagrangian method for three-dimensional steady supersonic flows

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

DOI:https://doi.org/10.1006/jcph.1994.1132· OSTI ID:7228732

Loh, Ching-Yuen; Liou, Meng-Sing ^[1]

---

1. NASA Lewis Research Center, Cleveland, OH (United States)

In this paper, the new Lagrangian method introduced by Loh and Hui is extended for 3D steady supersonic flow computation. We present the derivation of the conservation form and the solution of the local Riemann solver using the Godunov and the high resolution TVD schemes. The new approach is accurate and robust, capable of handling complicated geometry and interactions between discontinuous waves. As shown in the test problems, the current Lagrangian method retains all the advantages claimed in the 2D method, e.g., crisp resolution of a slip-surface (contact discontinuity) and automatic grid generation. In this paper, we also suggest a novel 3D Riemann problem in which interesting and intricate flow features are present. 20 refs., 12 figs.

• OSTI ID: 7228732
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 113:2; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
SUPERSONIC FLOW
THREE-DIMENSIONAL CALCULATIONS