A local Lagrangian finite volume method for the numerical solution of conservation laws

Author

Blair Henry Rollin

Date of Award

12-1992

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

K. C. Reddy

Abstract

An analytical cell averaging approach is applied to a local Lagrangian finite volume formulation of conservation laws describing the flow of a compressible fluid. After discretization, the approach eliminates the need for pointwise evaluation of fluxes and coupled with nonoscillatory interpolating functions, yields an accurate, conservative, stable scheme. This is done without the addition of any terms not derived from a direct discretization of terms in the original conservation law and without decoupling the system into characteristic fields. The development of the scheme is motivated and documented and its viability demonstrated by application to two one-dimensional fluid flow problems.

Recommended Citation

Rollin, Blair Henry, "A local Lagrangian finite volume method for the numerical solution of conservation laws. " Master's Thesis, University of Tennessee, 1992.
https://trace.tennessee.edu/utk_gradthes/12263