An Adaptive Cell-centered Projection Method for the Incompressible Euler Equations

(Dan Martin's Ph.D Thesis)

We have developed a cell-centered projection method for the incompressible Euler equations in fluid dynamics which uses the adaptive mesh refinement (AMR) methodology of Berger & Colella. In particular, we use block-structured local refinement, and refine in time as well as space. Advancement in time is through a recursive timestep which advances all cells at a given level of refinement, and then recursively advances all finer cells as well. A synchronization step is employed to ensure conservation, freestream preservation, and to enforce the divergence constraint based on multilevel composite operators.

A postscript version of the thesis is available. Because of its size, I have compressed it using either gzip (about 1.2 MB) or the UNIX compress utility (about 3 MB).

Click here for the gzipped version.

Click here for the compressed version.

NOTE: If you just get a page full of garbage, use your right mouse button, click on "save link as...", and save it that way...

Mail me if you have any problems, questions, or suggestions.

Also, there is a separate website dedicated to AMRPoisson (a stand-alone AMR solver for the Poisson equation, with an accompanying document.)

Return to ANAG Home Page

Go to Dan Martin's homepage