Random choice method for two-dimensional steady supersonic shock wave diffraction problems

Journal Article · Sat Dec 01 04:00:00 EST 1984 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(84)90104-9· OSTI ID:5997750

Marshall, G; Plohr, B

A random choice method for the numerical solution of steady, supersonic, two-dimensional plane and three-dimensional axisymmetric gas flows is presented. The random choice method uses exact solutions of Riemann problems and sampling techniques. It is applicable to steady, supersonic flows in more than one dimension because these flows are described by a hyperbolic system of conservation laws in two independent variables. The method is applied to a variety of supersonic shock wave diffraction problems and compared to solutions obtained with the method of characteristics. The main advantages of the method presented are its general applicability and its sharp resolution of discontinuities in the flow.

• Research Organization: Courant Institute, New York University, New York, New York 10012
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5997750
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 56:3; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COHERENT SCATTERING
DIFFRACTION
FLUID FLOW
NUMERICAL SOLUTION
SCATTERING
STEADY FLOW
SUP