Wave structure in one and two dimensional fluid flow
Conference
·
OSTI ID:5524494
An equation of state characterizes the material properties needed to describe compressible fluid flow. Thermodynamic consistency of the equation of state is too general to guarantee physically reasonable flows. Additional constraints may be obtained by analyzing wave structure of the solution to the fluid flow equations. Simple conditions on the equation of state can be derived from the requirements of existence, uniqueness and stability of the solution to the 1-D Riemann problem. A geometric construction based on the concept of a wave curve is used to solve the Riemann problem. The necessary conditions are related to the related to the monotonicity and asymptotic properties of the wave curve. The 2-D analog of the wave curve is called a shock polar. It can be used to solve a restricted class of 2-D Riemann problems corresponding to the steady state wave patterns that arise from the interaction of one shock wave with another shock wave or a contact. Well known problems such as the transition from regular to Mach reflection are related to the shock polar being neither monotonic nor unbounded. Additional boundary conditions and the bifurcation of 2-D wave patterns are discussed along with open questions that still need to be resolved.
- Research Organization:
- Los Alamos National Lab., NM (United States)
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5524494
- Report Number(s):
- LA-UR-92-49; CONF-920688--2; ON: DE92007421
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
COMPRESSIBLE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FLUID FLOW
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
RIEMANN SPACE
SHOCK WAVES
SPACE
WAVE FORMS
WAVE PROPAGATION
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
COMPRESSIBLE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FLUID FLOW
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
RIEMANN SPACE
SHOCK WAVES
SPACE
WAVE FORMS
WAVE PROPAGATION