61 citations · 262 across the 16 of their papers we have counts for
16 papers
A continuum and computational framework for viscoelastodynamics: II. Strain-driven and energy-momentum consistent schemes
Ju Liu, Jiashen Guan
We continue our investigation of finite deformation linear viscoelastodynamics by focusing on constructing accurate and reliable numerical schemes. The concrete thermomechanical fo…
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models
Jiashen Guan, Hongyan Yuan, Ju Liu
We present a structure-preserving scheme based on a recently-proposed mixed formulation for incompressible hyperelasticity formulated in principal stretches. Although there exist H…
On the design of energy-decaying momentum-conserving integrator for nonlinear dynamics using energy splitting and perturbation techniques
Ju Liu
This work proposes a suite of numerical techniques to facilitate the design of structure-preserving integrators for nonlinear dynamics. The celebrated LaBudde-Greenspan integrator…
Vascular fluid-structure interaction: unified continuum formulation, image-based mesh generation pipeline, and scalable fully implicit solver technology
Ju Liu, Jiayi Huang, Qingshuang Lu +1
We propose a computational framework for vascular fluid-structure interaction (FSI), focusing on biomechanical modeling, geometric modeling, and solver technology. The biomechanica…
Validation of the Reduced Unified Continuum Formulation Against In Vitro 4D-Flow MRI
Ingrid S. Lan, Ju Liu, Weiguang Yang +3
In our recent work, we introduced the reduced unified continuum formulation for vascular fluid-structure interaction (FSI) and demonstrated enhanced solver accuracy, scalability, a…
Numerical investigation of abdominal aortic aneurysm hemodynamics using the reduced unified continuum formulation for vascular fluid-structure interaction
Ingrid S. Lan, Ju Liu, Weiguang Yang +1
We recently demonstrated the reduction of the unified continuum and variational multiscale formulation to a computationally efficient fluid-structure interaction (FSI) formulation…
A reduced unified continuum formulation for vascular fluid-structure interaction
Ingrid S. Lan, Ju Liu, Weiguang Yang +1
We recently derived the unified continuum and variational multiscale formulation for fluid-structure interaction (FSI) using the Gibbs free energy. Restricting our attention to vas…
Mathematical modeling of the vascular system
Ju Liu, Ingrid S. Lan, Alison L. Marsden
In this article, we review the mathematical modeling for the vascular system.
A continuum and computational framework for viscoelastodynamics: finite deformation linear models
Ju Liu, Marcos Latorre, Alison L. Marsden
This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework base…
A note on the accuracy of the generalized- scheme for the incompressible Navier-Stokes equations
Ju Liu, Ingrid S. Lan, Oguz Z. Tikenogullari +1
We investigate the temporal accuracy of two generalized- schemes for the incompressible Navier-Stokes equations. The conventional approach treats the pressure with the backward…
Fluid-structure interaction modeling of blood flow in the pulmonary arteries using the unified continuum and variational multiscale formulation
Ju Liu, Weiguang Yang, Ingrid S. Lan +1
In this work, we present a computational fluid-structure interaction (FSI) study for a healthy patient-specific pulmonary arterial tree using the unified continuum and variational…
The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations
Ju Liu, Weiguang Yang, Melody Dong +1
We develop a novel iterative solution method for the incompressible Navier-Stokes equations with boundary conditions coupled with reduced models. The iterative algorithm is designe…
An energy-stable mixed formulation for isogeometric analysis of incompressible hyper-elastodynamics
Ju Liu, Alison L. Marsden, Zhen Tao
We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed and smooth generalizations of the Taylor-Hood elem…
A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning
Ju Liu, Alison L. Marsden
We develop a robust and efficient iterative method for hyper-elastodynamics based on a novel continuum formulation recently developed. The numerical scheme is constructed based on…
Thermal convection in the van der Waals fluid
Ju Liu
In this work, the van der Waals fluid model, a diffuse-interface model for liquid-vapor two-phase flows, is numerically investigated. The thermodynamic properties of the van der Wa…
A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction
Ju Liu, Alison L. Marsden
We develop a unified continuum modeling framework for viscous fluids and hyperelastic solids using the Gibbs free energy as the thermodynamic potential. This framework naturally le…