A Comparison of Modern Finite-Difference Hyperbolic Methods for
Nonlinear Conservation Laws, with Applications to Astrophysical Jets
and Semiconductor Devices
Abstract
Electron flow in classical semiconductor devices and gas dynamical
flows in astrophysical jets can be modeled by compressible fluid
dynamics. Simulations of the nonlinear conservation laws of gas
dynamics using three modern finite-difference hyperbolic methods will
be presented and contrasted: the Tadmor central scheme, the WENO-LF
method, and CLAWPACK (which employs a second-order Godunov method).
This is joint work with Anne Gelb, Youngsoo Ha, Justin Hernandez, and
Chi-Wang Shu.
