INVESTIGADORES
STORTI Mario Alberto
congresos y reuniones científicas
Título:
A FTT Preconditioning Technique for the Solution of Incompressible Flow on GPU's
Autor/es:
STORTI M.; PAZ R.; DALCÍN LISANDRO; COSTARELLI, SANTIAGO; IDELSOHN, SERGIO
Lugar:
Salta, Argentina
Reunión:
Congreso; MECOM 2012 - X Congreso Argentino de Mecánica Computacional. Salta, Argentina; 2012
Institución organizadora:
Asociación Argentina de Mecánica Computacional AMCA
Resumen:
Graphic Processing Units have received much attention in last years.
Compute-intensive algorithms operating on multidimensional arrays that
have nearest neighbor dependency and/or exploit data locality can
achieve massive speedups. Simulation of problems modeled by time-
dependent Partial Differential Equations by using explicit time-stepping
methods on structured grids is an instance of such GPU-friendly
algorithms. Solvers for transient incompressible fluid flow cannot be
developed in a fully explicit manner due to the incompressibility
constraint. Segregated algorithms like the fractional step method
require the solution of a Poisson problem for the pressure field at each
time level. This stage is usually the most time-consuming one. This
work discuss a solver for the pressure problem in applications using
immersed boundary techniques in order to account for moving solid
bodies. This solver is based on standard Conjugate Gradients iterations
and depends on the availability of a fast Poisson solver on the whole
domain to define a preconditioner. We provide a theoretical and
numerical evidence on the advantages of our approach versus classical
techniques based on fixed point iterations such as the Iterated
Orthogonal Projection method.