Journal ArticleDOI
Dynamic-mesh finite element method for Lagrangian computational fluid dynamics
Ivan Malcevic,Omar Ghattas +1 more
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TLDR
A novel method for simulation of flows with dynamic interfaces based on a Lagrangian flow formulation and dynamic finite element meshes that easily handles interface-dominated flows and promises highly successful applications to complex flows including the target problem of microstructural blood flow simulation.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2002-08-01. It has received 33 citations till now. The article focuses on the topics: Mesh generation & Finite element method.read more
Citations
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Journal ArticleDOI
A State of the Art Review of the Particle Finite Element Method (PFEM)
TL;DR: An extended overview of the theory and applications of the particle finite element method is provided, giving the tools required to understand the PFEM from its basic ideas to the more advanced applications and to confirm the flexibility and robustness of the method for a broad range of engineering applications.
Patent
Method for the numerical simulation of a physical phenomenon with a preferential direction
TL;DR: In this paper, a method of simulating behavior of a flow interacting with an object was proposed, which improves the accuracy of the approximation of the spatial p th derivative D p, p≧1 and therefore reduces the cost of the simulation.
Journal ArticleDOI
A finite element model of the squeeze casting process
TL;DR: In this paper, a numerical model of the squeeze casting process is presented, which consists of two parts, namely, the mould filling and the subsequent thermal stress analysis during and after solidification.
Journal ArticleDOI
Three-dimensional finite element model for metal displacement and heat transfer in squeeze casting processes
TL;DR: In this article, a three-dimensional finite element model for the numerical simulation of metal displacement and heat transfer in the squeeze casting process has been developed, in which the dynamic metal displacement process is divided into a certain number of sub-cycles.
Journal ArticleDOI
Transient hydrodynamic analysis of the transition process of bulb hydraulic turbine
Yiming Li,Guiqiu Song,Yunlei Yan +2 more
TL;DR: A semi-implicit method for solving pressure coupled equations used to calculate the flow field, and dynamic mesh were employed to simulate the three-dimensional dynamic turbulent flow of whole flow channels, in start transition process and runaway transition process of bulb hydraulic turbine.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Journal ArticleDOI
Numerical analysis of blood flow in the heart
TL;DR: In this article, the authors extended previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid and introduced an improved numerical representation of the δ-function.
Book ChapterDOI
Stabilized Finite Element Formulations for Incompressible Flow Computations
TL;DR: In this article, stabilized finite element formulations for incompressible flow computations are discussed, which involve two main sources of potential numerical instabilities associated with the Galerkin formulation of a problem.
Journal ArticleDOI
A lagrangian method for calculating the dynamics of an incompressible fluid with free surface
C.W Hirt,J.L Cook,T. D. Butler +2 more
TL;DR: In this article, a new method for numerical solution of the transient flow of viscous incompressible fluids having free surfaces is presented. The method is based on Lagrangian coordinates in contrast to other methods, which use the Eulerian representation.