... as much computations to GPU as possible. Our CUDA implementation covers all reservoir computes, which include property calculation, linearization, linear solver, etc. The well and Field Management still reside on CPU and need minor changes for their interaction with GPU-based reservoir. Importantly...

... Abstract Traditionally, preconditioners are used to damp slowly varying error modes in the linear solver stage. State-of-the-art multilevel preconditioners use a sequence of aggressive restriction, coarse-grid correction and prolongation operators to handle low-frequency modes on the coarse...

... with different switch criteria. To exam the adaptive preconditioning strategy, we also set the preconditioner switch criterion e switch to be 0.02, 0.01, 0.005, and 0.001. This problem is a big challenge for linear solvers due to its highly heterogeneous permeability and the number of grid blocks. What we can...

... incompressible flow simulator using MPI, OpenMP, and general-purpose graphics processing units (GPUs), and we analyze its computational performance. In particular, we evaluate the parallel performance of GPU-based iterative linear solvers for this application, and we compare them to CPU-based implementations...

... in general purpose simulation performance. Upstream Oil & Gas Voskov khait flow in porous media Adgpr Computation Modeling & Simulation Fluid Dynamics simulator compositional simulation operator equation OBL approach linear solver Timestep reservoir simulation Simulation...

... method linear system Alg problem size linear solver aizinger total number iterative solver Upstream Oil & Gas experiment ihss scheme hierarchical scale separation Artificial Intelligence dg discretization iteration solver discontinuous galerkin method gmre equation coarse-scale...

... linear solver society of petroleum engineers Introduction Linear systems which originate from the equations of reservoir modeling are among the most difficult to solve by iterative methods. These linear systems typically represent coupling between multiple physical unknowns at different scales...

... Linear solvers and preconditioners are essential to most scientific computing applications and have been studied for decades. Various linear solvers and preconditioners have been proposed. Saad and Schultz developed the GMRES (generalized minimal residual method) solver [ 13 , 1 , 46 , 66...

...) ). Abstract To realize the potential of the latest High-Performance-Computing (HPC) architectures for reservoir simulation, scalable linear solvers are necessary. We describe a parallel Algebraic Multiscale Solver (AMS) for the pressure equation of heterogeneous reservoir models. AMS is a two-level algorithm...

... model and the particular linear solver allow approximations to be interpreted in terms of transmissibilities, thus facilitating a direct comparison between them. We investigate the applicability of the framework to a single phase flow problem. Numerical experiments indicate that there is considerable...

... reservoir simulation Artificial Intelligence machine learning cml geomechanics support theory matrix displacement convergence solver multigrid method multilevel method formulation multistage Upstream Oil & Gas spe reservoir simulation symposium iteration linear solver...

... in a common working framework (a linear solver), they provide both considerable parallel performance and robustness even when solving quite difficult and ill-conditioned linear systems. Note that in this paper we focus mainly on the description of algorithms leaving out of consideration implementation issues...

... with coarse space correction) linear solvers for large-scale heterogeneous problems. We also confirm with experiments that using such bases for coarsening a problem produces a numerical solution of quality comparable to that of other available multiscale techniques. Finally, we also indicate how different...

... Abstract Wellbore flow and interactions between wells and the reservoir can be complex. Accurate modeling of these behaviors is especially important for advanced (multi-lateral) wells. This paper describes a new scalable linear solver for flow simulation of detailed unstructured models...

... unstructured grid water component SAGD balance equation simulator SPE Symposium society of petroleum engineers solution procedure unstructured grid linear solver equation Modeling & Simulation Upstream Oil & Gas primary variable selection mole fraction formulation thermal model...

... on both shared and distributed memory architectures, using a strategy to optimize both the load balance of processors and the convergence of the linear solver. We discuss partitioning strategies based on multi-level graph partitioning using an approach for optimal vertex/edge weighting for reservoir...

.... There should be no barriers to extending it to larger overlap if necessary. Solving the reduced system may require a different decomposition of the matrix operator and the rhs. In our implementation, the linear solver used for the reduced system makes use of its own matrix partition, reordering scheme...

... Parallel framework Unit test framework Graph framework Utilities Well model PVT model (EOS and black oil) Linear solver Linearizer and Automatic Differentiation (AD) Formulation (Implicit, IMPSAT, nonlinear updater) Timestepping Scale model Load balance We...

... multi-coloured orderings for ILU linear solvers. These splittings are usually based on some kind of regular cell-based splitting of the reservoir. Unfortunately, such splittings do not immediately apply to the unusual grids generated by dynamic gridding schemes, which exhibit multi- level refinements...

... Accurate Reservoir Simulator) and is constructed using a Newton-type formulation. The Peng-Robinson EOS is used for the hydrocarbon phase behavior calculations. The linear solvers from the PETSc package (Portable Extensible Toolkit for Scientific Computation) are used for the solution of the underlying...