We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier–Stokes equations and the surface quasi-geostrophic equation. Our main result is that the Godunov and Strang splitting methods converge with the expected rates provided the initial data are sufficiently regular.

For cluster video servers, it is very important to design a good distributed storage system with high performance. One of the important issues in designing a good distributed storage system is how to store multimedia data on many storage nodes. This issue includes two topics: the scheme of splitting an entire file into many clips, and the storage of these clips on many nodes. We have designed a...

An internal ballistics model has been developed for performance prediction of a solid propellant rocket motor. In this model a 1-D unsteady Euler equation with source terms is considered. The flow is assumed as a non-reacting mixture of perfect gases with space and time varying thermo physical properties. The governing equations in the combustion chamber are solved numerically by using the Steg...

In order to achieve multi-GHz operation frequency for VLSI design, clock networks need to be designed in a very elaborated manner and be able to deliver prescribed useful skews rather than merely zero-skew. Although traditional zero-skew clock routing methods can be extended directly to prescribed skews, they tend to result in excessive wirelength as the differences among delay-targets for cloc...