In this paper, the preconditioning technique of an elliptic Laplace problem in a global circulation ocean model is analyzed. We suggest an inverse preconditioning technique in order to efficiently compute the numerical solution of the elliptic kernel. Moreover, we show how the convergence rate and the performance of the solver are strictly linked to the discretized grid resolution and to the Laplace coefficients of the oceanic model. Finally, we present an easy-toimplement version of the solver on the Graphics Processing Units (GPUs).
A Smart GPU Implementation of an Elliptic Kernel for an Ocean Global Circulation Model / Cuomo, Salvatore; DE MICHELE, Pasquale; Piccialli, Francesco; Farina, Raffaele. - In: APPLIED MATHEMATICAL SCIENCES. - ISSN 1312-885X. - ELETTRONICO. - 7:61(2013), pp. 3007-3021.
A Smart GPU Implementation of an Elliptic Kernel for an Ocean Global Circulation Model
CUOMO, SALVATORE;DE MICHELE, PASQUALE;PICCIALLI, FRANCESCO;FARINA, RAFFAELE
2013
Abstract
In this paper, the preconditioning technique of an elliptic Laplace problem in a global circulation ocean model is analyzed. We suggest an inverse preconditioning technique in order to efficiently compute the numerical solution of the elliptic kernel. Moreover, we show how the convergence rate and the performance of the solver are strictly linked to the discretized grid resolution and to the Laplace coefficients of the oceanic model. Finally, we present an easy-toimplement version of the solver on the Graphics Processing Units (GPUs).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
