An efficient and modular grad–div stabilization

Joseph A. Fiordilino, William Layton, Yao Rong

Type: Article

Publication Date: 2018-03-06

Citations: 33

DOI: https://doi.org/10.1016/j.cma.2018.02.023

View Publication

Download PDF

Locations

Computer Methods in Applied Mechanics and Engineering - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Numerical analysis of a bdf2 modular grad-div Stabilization method for the Navier-Stokes equations	2018	Yao Rong Joseph A. Fiordilino
+ PDF Chat	Numerical Analysis of a BDF2 Modular Grad–Div Stabilization Method for the Navier–Stokes Equations	2020	Yao Rong Joseph A. Fiordilino
+	Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations	2021	William Layton Shuxian Xu
+ PDF Chat	Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations	2021	William Layton Shuxian Xu
+ PDF Chat	Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations	2021	William Layton Shuxian Xu
+	Modular grad-div stabilization for multiphysics flow problems.	2020	Mine Akbaş Leo G. Rebholz
+	Numerical analysis of CNLF modular Grad–Div stabilization method for time-dependent Navier–Stokes equations	2020	Xiaodong Jia Zhuyan Tang Hui Feng
+ PDF Chat	Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations	2022	William Layton Shuxian Xu
+ PDF Chat	Modular grad-div stabilization for the incompressible non-isothermal fluid flows	2020	Mine Akbaş Leo G. Rebholz
+	Modular grad-div stabilization for the incompressible non-isothermal fluid flows	2020	Mine Akbaş Leo G. Rebholz
+	A two-level finite element method with grad-div stabilizations for the incompressible Navier–Stokes equations	2024	Yueqiang Shang
+ PDF Chat	A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations	2021	Mine Akbaş
+	A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	2024	Yueqiang Shang Jiali Zhu Bo Zheng
+	Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization	2023	Wei-Wei Han Yao‐Lin Jiang Zhen Miao
+	Error analysis and iterative solvers for Navier–Stokes projection methods with standard and sparse grad-div stabilization	2014	Abigail L. Bowers Sabine Le Borne Leo G. Rebholz
+	A sparse grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations	2023	Shuaijun Liu Pengzhan Huang
+	A Modular Framework for Generation and Maintenance of Adjoint Solvers Assisted by Algorithmic Differentiation - with Applications to an Incompressible Navier-Stokes Solver	2014	Mikko Auvinen
+	STABLE COMPUTING WITH AN ENHANCED PHYSICS BASED SCHEME FOR THE 3D NAVIER-STOKES EQUATIONS	2010	Michael A. Case Vincent J. Ervin Alexander Linke Leo G. Rebholz Nicholas E. Wilson
+	Multi-level stabilized algorithms for the stationary incompressible Navier–Stokes equations with damping	2019	Hailong Qiu Liquan Mei
+ PDF Chat	Numerical analysis of modular grad-div stability methods for the time-dependent Navier-Stokes/Darcy model	2020	Jiangshan Wang Lingxiong Meng Hongen Jia

Works That Cite This (24)

Action	Title	Year	Authors
+	Numerical analysis of an improved projection method for the evolutionary magnetohydrodynamic equations with modular grad-div stabilization	2024	Wei-Wei Han Yao‐Lin Jiang
+	Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization	2023	Wei-Wei Han Yao‐Lin Jiang Zhen Miao
+	A sparse grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations	2023	Shuaijun Liu Pengzhan Huang
+	An embedded variable step IMEX scheme for the incompressible Navier–Stokes equations	2021	Victor DeCaria Michael Schneier
+	A second-order modular grad-div stabilized scheme for the Darcy–Brinkman model	2023	Yunhua Zeng Pengzhan Huang
+ PDF Chat	Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier–Stokes equations with high-order finite elements	2022	Di Yang Yinnian He Yarong Zhang
+	Analysis of a Parallel Grad-Div Stabilized Method for the Navier–Stokes Problem with Friction Boundary Conditions	2024	Bo Zheng Hongtao Ran Yueqiang Shang
+ PDF Chat	A low-rank update for relaxed Schur complementpreconditioners in fluid flow problems	2023	Rebekka S. Beddig Jörn Behrens Sabine Le Borne
+ PDF Chat	A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations	2021	Mine Akbaş
+ PDF Chat	Modular grad-div stabilization for the incompressible non-isothermal fluid flows	2020	Mine Akbaş Leo G. Rebholz

Works Cited by This (17)

Action	Title	Year	Authors
+	On a reduced sparsity stabilization of grad–div type for incompressible flow problems	2013	Alexander Linke Leo G. Rebholz
+	Error analysis and iterative solvers for Navier–Stokes projection methods with standard and sparse grad-div stabilization	2014	Abigail L. Bowers Sabine Le Borne Leo G. Rebholz
+	On the convergence rate of grad-div stabilized Taylor–Hood to Scott–Vogelius solutions for incompressible flow problems	2011	Alexander Linke Leo G. Rebholz Nicholas E. Wilson
+	On the parameter choice in grad-div stabilization for the Stokes equations	2013	Eleanor W. Jenkins Volker John Alexander Linke Leo G. Rebholz
+	ℋ︁‐LU factorization in preconditioners for augmented Lagrangian and grad‐div stabilized saddle point systems	2010	Steffen Börm Sabine Le Borne
+ PDF Chat	Recent computational developments in Krylov subspace methods for linear systems	2006	Valeria Simoncini Daniel B. Szyld
+	New development in freefem++	2012	Frédéric Hecht
+ PDF Chat	Accurate conjugate gradient methods for families of shifted systems	2004	Jasper van den Eshof Gérard L. G. Sleijpen
+ PDF Chat	Splitting schemes for unsteady problems involving the grad-div operator	2017	P Minev Petr N. Vabishchevich
+ PDF Chat	Analysis for the fast vector penalty-projection solver of incompressible multiphase Navier-Stokes/Brinkman problems	2015	Philippe Angot Jean‐Paul Caltagirone Pierre Fabrie