@article {994,
	title = {Accelerating the Conjugate Gradient Algorithm with GPU in CFD Simulations},
	journal = {VECPAR},
	year = {2016},
	abstract = {This paper illustrates how GPU computing can be used to accelerate computational fluid dynamics (CFD) simulations. For sparse linear systems arising from finite volume discretization, we evaluate and optimize the performance of Conjugate Gradient (CG) routines designed for manycore accelerators and compare against an industrial CPU-based implementation. We also investigate how the recent advances in preconditioning, such as iterative Incomplete Cholesky (IC, as symmetric case of ILU) preconditioning, match the requirements for solving real world problems.},
	url = {http://hgpu.org/?p=16264},
	author = {Hartwig Anzt and Marc Baboulin and Jack Dongarra and Yvan Fournier and Frank Hulsemann and Amal Khabou and Yushan Wang}
}
@conference {763,
	title = {A Parallel Solver for Incompressible Fluid Flows},
	booktitle = {International Conference on Computational Science (ICCS 2013)},
	year = {2013},
	month = {2013-06},
	publisher = {Elsevier B.V.},
	organization = {Elsevier B.V.},
	address = {Barcelona, Spain},
	abstract = {The Navier-Stokes equations describe a large class of fluid flows but are difficult to solve analytically because of their nonlin- earity. We present in this paper a parallel solver for the 3-D Navier-Stokes equations of incompressible unsteady flows with constant coefficients, discretized by the finite difference method. We apply the prediction-projection method which transforms the Navier-Stokes equations into three Helmholtz equations and one Poisson equation. For each Helmholtz system, we apply the Alternating Direction Implicit (ADI) method resulting in three tridiagonal systems. The Poisson equation is solved using partial diagonalization which transforms the Laplacian operator into a tridiagonal one. We describe an implementation based on MPI where the computations are performed on each subdomain and information is exchanged on the interfaces, and where the tridiagonal system solutions are accelerated using vectorization techniques. We present performance results on a current multicore system.},
	keywords = {ADI, Navier-Stokes equations, Parallel computing, Partial diagonalization, Prediction-projection, SIMD},
	doi = {DOI: 10.1016/j.procs.2013.05.207},
	author = {Yushan Wang and Marc Baboulin and Jo{\"e}l Falcou and Yann Fraigneau and Olivier Le Ma{\^\i}tre}
}
