A class of self-similar hydrodynamics test problems

Journal Article · Wed Dec 08 00:00:00 EST 2010

OSTI ID:1043471

Ramsey, Scott D ^[1]; Brown, Lowell S ^[1]; Nelson, Eric M ^[1]; Alme, Marv L ^[1]

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1. Los Alamos National Laboratory

We consider self-similar solutions to the gas dynamics equations. One such solution - a spherical geometry Gaussian density profile - has been analyzed in the existing literature, and a connection between it, a linear velocity profile, and a uniform specific internal energy profile has been identified. In this work, we assume the linear velocity profile to construct an entire class of self-similar sol utions in both cylindrical and spherical geometry, of which the Gaussian form is one possible member. After completing the derivation, we present some results in the context of a test problem for compressible flow codes.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1043471
• Report Number(s): LA-UR-10-08184; LA-UR-10-8184; TRN: US1203238
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
97 MATHEMATICAL METHODS AND COMPUTING
COMPRESSIBLE FLOW
DENSITY
DYNAMICS
EQUATIONS
GASES
GAUSSIAN PROCESSES
HYDRODYNAMICS