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We discuss the generation of curvilinear composite overlapping grids and the numerical solution of partial differential equations on them. A composite overlapping grid consists of a set ofâ€¦ (More)

- David L. Brown, William D. Henshaw, Daniel J. Quinlan
- ISCOPE
- 1997

Abst rac t . The Over tu re framework is a collection of C++ classes that can be used to solve partial differential equations (PDEs). These classes were designed to support applications in one, twoâ€¦ (More)

The OVERTURE Framework is an ob ject-oriented environment for solving PDEs on serial and parallel architectures. It is a collection of C++ libraries that enables the use of finite difference andâ€¦ (More)

We describe a method for the numerical solution of high-speed reactive flow in complex geometries using overlapping grids and block-structured adaptive mesh refinement. We consider flows described byâ€¦ (More)

- Jeffrey W. Banks, Donald W. Schwendeman, Ashwana K. Kapila, William D. Henshaw
- J. Comput. Physics
- 2007

A numerical method is described for inviscid, compressible, multi-material flow in two space dimensions. The flow is governed by the multi-material Euler equations with a general mixture equation ofâ€¦ (More)

- William D. Henshaw, Kyle K. Chand
- J. Comput. Physics
- 2009

We describe a numerical method for modeling temperature-dependent fluid flow coupled to heat transfer in solids. This approach to conjugate-heat-transfer can be used to compute transient andâ€¦ (More)

- William D. Henshaw
- SIAM J. Scientific Computing
- 2006

A scheme for the solution of the time dependent Maxwellâ€™s equations on composite overlapping grids is described. The method uses high-order accurate approximations in space and time for Maxwellâ€™sâ€¦ (More)

- Kara L. Maki, Richard J. Braun, William D. Henshaw, P. Ewen King-Smith
- Mathematical medicine and biology : a journal ofâ€¦
- 2010

We study the relaxation of a model for the human tear film after a blink on a stationary eye-shaped domain corresponding to a fully open eye using lubrication theory and explore the effects ofâ€¦ (More)

- William D. Henshaw, Heinz-Otto Kreiss, Jacob YstrÃ¶m
- Multiscale Modeling & Simulation
- 2003

We consider solutions to the unforced incompressible Navierâ€“Stokes equations in a Â¨ Â©-periodic box. We split the solution into two parts representing the large-scale and small-scale motions. Weâ€¦ (More)

- Federico Bassetti, David L. Brown, Kei Davis, William D. Henshaw, Daniel J. Quinlan
- Proceedings of the IEEE/ACM SC98 Conference
- 1998

The <i>Overture</i> Framework is an object-oriented environment for solving PDEs on serial and parallel architectures. It is a collection of C++ libraries that enables the use of finite differenceâ€¦ (More)