Group-invariant solutions of hydrodynamics and radiation hydrodynamics

Conference · Sun Aug 01 00:00:00 EDT 1993

OSTI ID:10180432

Coggeshall, S V

Using the property of invariance under Lie groups of transformations, the equations of hydrodynamics are transformed from partial differential equations to ordinary differential equations, for which special analytic solutions can be found. These particular solutions can be used for (1) numerical benchmarks, (2) the basis for analytic models, and (3) insight into more general solutions. Additionally, group transformations can be used to construct new solutions from existing ones. A space-time projective group is used to generate complicated solutions from simpler solutions. Discussion of these procedures is presented along with examples of analytic of 1,2 and 3-D hydrodynamics.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 10180432
• Report Number(s): LA-UR-93-2505; CONF-930978-1; ON: DE93018373; TRN: 93:019912
• Resource Relation: Conference: Conference on the engineering applications of computational fluid dynamics,London (United Kingdom),7-8 Sep 1993; Other Information: PBD: [1993]
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HYDRODYNAMICS
ANALYTICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
LIE GROUPS
FLUID MECHANICS
BOUNDARY CONDITIONS
INVARIANCE PRINCIPLES
420400
990200
HEAT TRANSFER AND FLUID FLOW
MATHEMATICS AND COMPUTERS