Advances in Numerical Advection

4:30 PM-6:30 PM

*Room: Executive Salon 3*

The advection equation is notorious for the numerical problems posed by its discrete approximation, notably, the loss of solution monotonicity. Great strides in numerical advection were made in the 1970's in astrophysics and plasma physics; in the 1980's and 90's applied mathematics and aerodynamics drove its further development. There is ample proof that knowledge of these advances has been slow to permeate other disciplines, such as atmospheric and porous-media flow modeling. This minisymposium aims at bridging the interdisciplinary gap, by a offering review of advanced numerical techniques.

**Organizer: Bram van Leer**

*University of Michigan, Ann Arbor*

**4:30-4:55 Three Decades of Numerical Advection**

- Bram van Leer, Organizer

**5:00-5:25 Discontinuous Galerkin for Advection**

- Robert B. Lowrie, Los Alamos National Laboratory

**5:30-5:55 An Applications Perspective of Nonoscillatory Discretizations for Hyperbolic Equations**

- Sukumar Chakravarthy, Metacomp Technologies, Inc., Westlake
Village, California

**6:00-6:25 Multidimensional Flux-Splitting Schemes for Inviscid Compressible Flows**

- Lisa M. Mesaros, Fluent Inc., Ann Arbor, Michigan

*MMD, 11/19/98*