Fluctuation splitting schemes on optimal grids

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76960/1/AIAA-1997-2034-842.pd

Thin Shock Layer Theory Revisited

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77228/1/AIAA-2005-5194-421.pd

Vorticity capturing

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76188/1/AIAA-2001-2523-514.pd

Towards a genuinely multi-dimensional upwind scheme

Methods of incorporating multi-dimensional ideas into algorithms for the solution of Euler equations are presented. Three schemes are developed and tested: a scheme based on a downwind distribution, a scheme based on a rotated Riemann solver and a scheme based on a generalized Riemann solver. The schemes show an improvement over first-order, grid-aligned upwind schemes, but the higher-order performance is less impressive. An outlook for the future of multi-dimensional upwind schemes is given

Remote boundary conditions for unsteady multidimensional aerodynamic computations

The behavior of gas dynamic flows which are perturbations of a uniform stream in terms of information transfer across artificial (computational) boundaries remote from the source of disturbance are discussed. A set of boundary conditions is derived involving vorticity, entropy, and pressure-velocity relationships derived from bicharacteristic equations

New light on numerical boundary conditions

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77330/1/AIAA-1991-1600-977.pd

Artificial Surface Tension to Stabilize Captured Shockwaves

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76146/1/AIAA-2008-3991-573.pd

A form of the Euler equations preserving potential flow

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77316/1/AIAA-1999-3280-269.pd

Design of algorithms for a dispersive hyperbolic problem

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76793/1/AIAA-1991-1535-868.pd

Adaptive-Quadrature Fluctuation-Splitting Schemes for the Euler Equations

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77236/1/AIAA-2005-4865-740.pd