scholarly journals Modeling and a Robin-type decoupled finite element method for dual-porosity–Navier–Stokes system with application to flows around multistage fractured horizontal wellbore

2022 ◽  
Vol 388 ◽  
pp. 114248
Author(s):  
Jiangyong Hou ◽  
Dan Hu ◽  
Xiaoming He ◽  
Changxin Qiu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes System ◽  
Dual Porosity ◽  
Navier Stokes ◽  
Horizontal Wellbore ◽  
Element Method

scholarly journals Mixed Finite Volume – Finite Element Method for the Navier–Stokes System

2021 ◽  
pp. 393-418
Author(s):  
Eduard Feireisl ◽  
Mária Lukáčová-Medviďová ◽  
Hana Mizerová ◽  
Bangwei She
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Volume ◽  
Stokes System ◽  
Navier Stokes ◽  
Element Method

A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle

2017 ◽  
Vol 32 (4) ◽  
Author(s):  
Alexander Danilov ◽  
Alexander Lozovskiy ◽  
Maxim Olshanskii ◽  
Yuri Vassilevski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Left Ventricle ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Time Step ◽  
Navier Stokes Equations ◽  
Computed Tomography Images ◽  
Time Dependent Domain ◽  
Element Method

AbstractThe paper introduces a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method is based on a quasi-Lagrangian formulation of the problem and handling the geometry in a time-explicit way. We prove that numerical solution satisfies a discrete analogue of the fundamental energy estimate. This stability estimate does not require a CFL time-step restriction. The method is further applied to simulation of a flow in a model of the left ventricle of a human heart, where the ventricle wall dynamics is reconstructed from a sequence of contrast enhanced Computed Tomography images.

A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow

2016 ◽  
Vol 38 (5) ◽  
pp. B710-B739 ◽  
Author(s):  
Jiangyong Hou ◽  
Meilan Qiu ◽  
Xiaoming He ◽  
Chaohua Guo ◽  
Mingzhen Wei ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Flow ◽  
Dual Porosity ◽  
Element Method
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