Mathematics and Computers in Simulation· 2026Q1
Speeding up parallel performance of porous media flow simulations using multiscale preconditioners
- 1citations
- Q1SCImago
- 2026year
Short summary
A multiscale domain decomposition technique (MRCM) used as a preconditioner with iterative solvers significantly reduces iterations for porous media flow simulations, offering a scalable alternative to algebraic multigrid.
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Key points
- The Multiscale Robin Coupled Method (MRCM) is a domain decomposition technique using Robin-type boundary conditions.
- MRCM demonstrates accurate solutions and excellent scalability for parallel computing in heterogeneous flow modeling.
- MRCM, when applied as a preconditioner to iterative solvers like the Preconditioned Conjugate Gradient method, significantly reduces the number of iterations.
- This MRCM-based preconditioning offers a scalable and competitive alternative to algebraic multigrid for challenging problems.
AI-generated from the title and abstract; the full text is not read.
Abstract
Recent studies in numerical simulations are directed to the development of optimized approximations in fluid dynamics, aiming at solving larger and more detailed problems. The Multiscale Robin Coupled Method (MRCM), a multiscale domain decomposition technique based on the imposition of Robin-type boundary condition on each subdomain, has shown accurate solutions taking advantage of parallel computing for modeling flows in petroleum reservoirs with high contrast in heterogeneity. MRCM allows a flexible choice of parameters and approximation spaces, and it shows excellent scalability in modern multicore architectures. In view of these advantages, we investigate MRCM as a preconditioner in the context of well-known iterative linear solvers, namely the Preconditioned Conjugate Gradient method. Numerical results demonstrate that, when combined with different smoothing methods, the MRCM preconditioner significantly reduces the number of iterations, providing a competitive, scalable alternative to algebraic multigrid to solve challenging problems.
The authors' abstract, as published at the source. Mathematics and Computers in Simulation, 2026 · DOI ↗
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Field: Computational Theory and Mathematics
Computational Theory and MathematicsComputer Science