Wednesday, July 12
MS36
Mathematical Modeling and Numerical Simulation of Subsurface and Surface Flow Problems - Part I of II
10:30 AM-12:30 PM
Rio Mar 1
For Part II, see MS44.
Sponsored by SIAM Activity Group on Geosciences
The speakers in this minisymposium will discuss topics in the mathematical and numerical aspects of modeling subsurface and surface flow problems are presented. In particular, the subsurface flow topics include geomechanics and discretizations and corresponding linear and nonlinear solvers for multi-phase and multi-physics flow in a heterogeneous porous medium. The speakers will also discuss algorithms for discretizing the shallow water equations and the couplings of these equations to the hydrology models.
Organizers: Mary F. Wheeler and Clint N. Dawson
University of Texas, Austin, USA
Eleanor W. Jenkins
North Carolina State University, USA
- 10:30-10:55 Locally Conservative Schemes for Modeling Multiphase Flow in Permeable Media
- Mary F. Wheeler, Organizer
- 11:00-11:25 Mathematical Issues in the Coupling of Multiphase Flow Models
- Malgorzata Peszynska, University of Texas, Austin, USA
- 11:30-11:55 Aggregation-Based Domain Decomposition Methods for Unsaturated Flow I: Motivation and Design
- C. T. Kelley, North Carolina State University, USA
- 12:00-12:25 Aggregation-Based Domain Decomposition Methods for Unsaturated Flow II: Theory and Results
- Eleanor W. Jenkins, Organizer; C. T. Kelley, North Carolina State University, USA; C. E. Kees and C. T. Miller, University of North Carolina, Chapel Hill, USA; R. C. Berger, J. P. Hallberg, and S. E. Howington, U.S. Army Corps of Engineers