**Speaker:** Dr. Andrew C. Bauer, Rensselaer Polytechnic Institute

**Title:** Developments to Improve Extended MHD Simulations in M3D-C1

**Abstract:**

Work will be presented on two topics that are related to performing extended MHD simulations. The first is on adding adaptive mesh technology to M3D-C1 and the second is on multilevel stabilization. Adaptive mesh technologies can provide very accurate answers at a low computational cost for a wide variety of problems. The price of these technologies though comes from the development costs but through using software components and proper APIs much of the work can be reused for a wide variety of problems and simulation codes. The work that was needed to implement adaptive mesh technologies for M3D-C1 was modifying a structured mesh code to use unstructured meshes, develop an error indicator for the discretized equations and develop a method to compute a local size field from the error indicator. This work will be detailed in the presentation.

The second topic is on multilevel stabilization related to extended MHD simulations. We initially perform the analysis with respect to the linearized streamfunction form of the Navier-Stokes equations. This is the first multilevel stabilization analysis performed on the streamfunction form of the Navier-Stokes equations and an overview of the process will be presented.

This work was done by A.C. Bauer, K.E. Jansen, M.S. Shephard and J.A. Evans at the Scientific Computation Research Center at Rensselaer Polytechnic Institute in collaboration with S.C. Jardin of PPPL.

Andrew Bauer Last modified: Thu Sep 7 14:39:31 EDT 2006