Date: 11/21/08

Speaker: Dr. G. Weymouth

Title: New In-house VFRL Linear Solver Library

Abstract:
This work presents the new library of solution tools for large sparse  systems of linear
equations created for the Vortical Flow Research Laboratory (VFRL). The new  library is written in
Fortran95 and organized using modular Object Oriented programming techniques  enabling
implementation in a variety of Computational Fluid Dynamic (CFD) solvers. Basic primitives  such as arrays
and matrices along with operations on those primitives are defined in low-level  routines enabling
the development of general high-level algorithms. State of the art iterative inversion  methods have been
implemented in high-level routines such as Successive Over Relation (SOR),  Preconditioned Conjugate
Gradient (PCG), and Multi-Grid (MG) methods. Solver options are all easily modified  from initialization
subroutines without recompiling the library. Additionally, all the solvers run on  both serial and
parallel architectures. Testing and development of the solvers is on-going, but they have been  numerically
verified on two separate CFD solvers for a variety of flow types for systems of more  than 10 million
equations.