A convergent finite difference scheme for the Navier-Stokes equations of nonisentropic compressible fluid flow
Thesis/Dissertation
·
OSTI ID:7041534
The main result of this work is an analysis of a finite difference scheme for the Navier-Stokes equations which model nonisentropic, compressible fluid flow in one space dimension. Convergence is proved and error bounds are derived for the scheme. The error is measured in the l[sup 2] norm for u and e; and in the piecewise H[sup 1] norm for v. It is noteworthy that the error bounds dominate sup-norm error bounds for discontinuous variable v. It is shown that the scheme converges at a rate of O([Delta]x[sup r])(r < 1/12) if the initial data is discontinuous, and at O([Delta]x[sup 1/2]) if the initial data is continuous. Numerical results are also presented in the last part of the dissertation.
- Research Organization:
- Indiana Univ., Bloomington, IN (United States)
- OSTI ID:
- 7041534
- Country of Publication:
- United States
- Language:
- English
Similar Records
A convergent finite-difference scheme for the Navier-Stokes equations of one-dimensional, nonisentropic, compressible flow
Smooth solutions of the Navier-Stokes equations
A non-conforming finite volume element method for the two-dimensional Navier–Stokes/Darcy system
Journal Article
·
Sat Oct 01 00:00:00 EDT 1994
· SIAM Journal on Numerical Analysis (Society for Industrial and Applied Mathematics); (United States)
·
OSTI ID:7149538
Smooth solutions of the Navier-Stokes equations
Journal Article
·
Thu Feb 27 23:00:00 EST 2014
· Sbornik. Mathematics
·
OSTI ID:22365743
A non-conforming finite volume element method for the two-dimensional Navier–Stokes/Darcy system
Journal Article
·
Thu Mar 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22783975