Upwind Difference Schemes for Systems of Conservation Laws - Potential Flow Equations.

reportActive / Technical Report | Accession Number: ADA099348 | Open PDF

Abstract:

We derive new upwind type finite difference approximations to systems of nonlinear hyperbolic conservation laws. The general technique is exemplified by the potential flow equations written as a first order system. The scheme has desirable properties for shock calculations. For the potential flow approximation, we show that the entropy condition is valid for limit solutions and that there exist discrete steady shocks which are unique and sharp. Numerical examples are given. Author

Author(s):
Engquist, Bjorn ; Osher, Stanley
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0050

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2186
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_6.1.3_Switching and Routing; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating; JCA_6.1_Information Transport; JCA_6_Net Centric; JCA_5.3_Planning
Modernization Areas:
Fully Networked C3
Communities of Interest:
Air Platforms
Descriptor(s):
*FINITE DIFFERENCE THEORY, *CONSERVATION, *FLUID FLOW, EIGENVECTORS, EIGENVALUES, GAS DYNAMICS, NONLINEAR SYSTEMS, APPROXIMATION(MATHEMATICS), SHOCK, SCALAR FUNCTIONS, NUMERICAL METHODS AND PROCEDURES, ENTROPY, TRANSONIC FLOW, HYPERBOLAS, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics, Fluid Mechanics
Keyword(s):
Conservation laws
Report Date:
1981 Mar 01