Accession Number:

ADA045512

Title:

An Algorithm for a Hyperbolic Free Boundary Problem.

Descriptive Note:

Technical memo.,

Corporate Author:

JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB

Personal Author(s):

Report Date:

1977-05-01

Pagination or Media Count:

86.0

Abstract:

In this report, which is the first part of a more comprehensive work, a solution algorithm is given for a hyperbolic conservation law. The algorithm is of an embedding type in that the solution is built up from Greens functions for simple processes taking place without reference to boundaries, and the locations of shocks are not explicitly followed. There is a discussion of boundary conditions and treatment of the Burgers and Korteweg-de Vries equations. Cursory mention is made of the extension to systems. Appropriate function spaces for solutions are introduced. The effects of perturbations in the initial conditions and of the velocity of propagation of disturbances are analyzed. For a monotonic velocity profile, in the one-dimensional case without boundaries, a convergence proof and error estimate are given.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE