A review of domain decomposition methods for simulation of fluid flows: concepts, algorithms, and applications

HS Tang, RD Haynes, G Houzeaux - Archives of Computational Methods …, 2021 - Springer
Abstract Domain decomposition (DD) is a powerful approach to numerically solve partial
differential equations, and it has become popular and indispensable in simulations of fluid …

Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows

O Colomés, S Badia, R Codina, J Principe - Computer Methods in Applied …, 2015 - Elsevier
In this work we study the performance of some variational multiscale models (VMS) in the
large eddy simulation (LES) of turbulent flows. We consider VMS models obtained by …

Multilevel balancing domain decomposition at extreme scales

S Badia, AF Martín, J Principe - SIAM Journal on Scientific Computing, 2016 - SIAM
In this paper we present a fully distributed, communicator-aware, recursive, and interlevel-
overlapped message-passing implementation of the multilevel balancing domain …

FEMPAR: An Object-Oriented Parallel Finite Element Framework

S Badia, AF Martín, J Principe - Archives of Computational Methods in …, 2018 - Springer
FEMPAR is an open source object oriented Fortran200X scientific software library for the
high-performance scalable simulation of complex multiphysics problems governed by partial …

A highly scalable parallel implementation of balancing domain decomposition by constraints

S Badia, AF Martín, J Principe - SIAM Journal on Scientific Computing, 2014 - SIAM
In this work we propose a novel parallelization approach of two-level balancing domain
decomposition by constraints preconditioning based on overlapping of fine-grid and coarse …

Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem

S Badia, AF Martín, R Planas - Journal of Computational Physics, 2014 - Elsevier
The thermally coupled incompressible inductionless magnetohydrodynamics (MHD)
problem models the flow of an electrically charged fluid under the influence of an external …

Implementation and scalability analysis of balancing domain decomposition methods

S Badia, AF Martín, J Principe - Archives of Computational Methods in …, 2013 - Springer
In this paper we present a detailed description of a high-performance distributed-memory
implementation of balancing domain decomposition preconditioning techniques. This …

On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections

S Badia, AF Martín, J Principe - Parallel Computing, 2015 - Elsevier
In this work, we analyze the scalability of inexact two-level balancing domain decomposition
by constraints (BDDC) preconditioners for Krylov subspace iterative solvers, when using a …

Physics-based balancing domain decomposition by constraints for multi-material problems

S Badia, AF Martín, H Nguyen - Journal of Scientific Computing, 2019 - Springer
In this work, we present a new variant of the balancing domain decomposition by constraints
preconditioner that is robust for multi-material problems. We start with a well-balanced …

On the coarse matrix solver of preconditioners for magnetostatic domain decomposition analysis

H Kanayama, M Ogino, S Sugimoto, K Yodo… - IEEJ Transactions on …, 2017 - jstage.jst.go.jp
An iterative domain decomposition method is proposed for numerical analysis of 3-
Dimensional (3D) linear magnetostatic problems taking the magnetic vector potential as an …