Left ventricular flow analysis: recent advances in numerical methods and applications in cardiac ultrasound
From MaRDI portal
Publication:382583
DOI10.1155/2013/395081zbMath1275.92040OpenAlexW2014178566WikidataQ38108305 ScholiaQ38108305MaRDI QIDQ382583
John Westerdale, Iman Borazjani, Prathish K. Rajaraman, Marek Belohlavek, Eileen M. McMahon, Jeffrey J. Heys
Publication date: 21 November 2013
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/395081
Related Items (2)
Echocardiographic particle imaging velocimetry data assimilation with least square finite element methods ⋮ A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- First-order system least squares (FOSLS) for coupled fluid-elastic problems
- Least-squares finite element method for fluid dynamics
- Weighted least-squares finite element method for cardiac blood flow simulation with echocardiographic data
- A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries
- Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
- A three-dimensional fluid-structure interaction method for heart valve modelling
- Open problems in computational vascular biomechanics: hemodynamics and arterial wall mechanics
- Weighted least-squares finite elements based on particle imaging velocimetry data
- An analysis of finite-difference and finite-volume formulations of conservation laws
- A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
- Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
- Numerical analysis of blood flow in the heart
- Accuracy of least-squares methods for the Navier--Stokes equations
- Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
- A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies
- A least-squares finite element method for the Navier-Stokes equations
- Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- Level set methods and dynamic implicit surfaces
- A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems: A finite element implementation
- A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
- A parallel overset-curvilinear-immersed boundary framework for simulating complex 3D incompressible flows
- Fluid-structure interaction, immersed boundary-finite element method simulations of bio-prosthetic heart valves
- An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation
- A fluid-structure interaction method with solid-rigid contact for heart valve dynamics
- Arbitrary Lagrangian Eulerian approximation with remeshing for Navier-Stokes equations
- IMMERSED BOUNDARY METHODS
- The immersed boundary method
- Enhanced Mass Conservation in Least-Squares Methods for Navier–Stokes Equations
- An adaptive remeshing strategy for flows with moving boundaries and fluid–structure interaction
- Direct numerical simulation of the pulsatile flow through an aortic bileaflet mechanical heart valve
- A least-squares finite element method for incompressible Navier-Stokes problems
- A universal time scale for vortex ring formation
- Finite Element Methods of Least-Squares Type
- Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
- Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
- An Immersed Interface Method for Incompressible Navier--Stokes Equations
- L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
- First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results
- First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
- A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves
- Vorticity dynamics of a bileaflet mechanical heart valve in an axisymmetric aorta
- Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- Three-dimensional filling flow into a model left ventricle
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II
This page was built for publication: Left ventricular flow analysis: recent advances in numerical methods and applications in cardiac ultrasound
