Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing

2006 ◽  
Vol 219 (1) ◽  
pp. 47-67 ◽  
Author(s):  
Pengtao Yue ◽  
Chunfeng Zhou ◽  
James J. Feng ◽  
Carl F. Ollivier-Gooch ◽  
Howard H. Hu
Keyword(s):  
Finite Elements ◽  
Phase Field ◽  
Viscoelastic Fluids ◽  
Adaptive Meshing ◽  
Interfacial Dynamics

scholarly journals 3D phase-field simulations of interfacial dynamics in Newtonian and viscoelastic fluids

2010 ◽  
Vol 229 (2) ◽  
pp. 498-511 ◽  
Author(s):  
Chunfeng Zhou ◽  
Pengtao Yue ◽  
James J. Feng ◽  
Carl F. Ollivier-Gooch ◽  
Howard H. Hu
Keyword(s):  
Phase Field ◽  
Viscoelastic Fluids ◽  
Interfacial Dynamics

scholarly journals Adaptive Orientation of Exponential Finite Elements for a Phase Field Fracture Model

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Darius Olesch ◽  
Charlotte Kuhn ◽  
Alexander Schlüter ◽  
Ralf Müller
Keyword(s):  
Finite Elements ◽  
Phase Field ◽  
Fracture Model

Singular Finite Elements for the Die-Swell Simulation of Viscoelastic Fluids

2004 ◽  
Vol 37 (9) ◽  
pp. 1140-1149 ◽  
Author(s):  
Shuichi Iwata ◽  
Hideki Mori ◽  
Tsutomu Aragaki ◽  
Yusuke Takahashi ◽  
Masahito Hattori ◽  
...  
Keyword(s):  
Finite Elements ◽  
Viscoelastic Fluids ◽  
Die Swell

Discontinuous Finite Element Phase-Field Modeling of Solidification Microstructure Formation

2004 ◽  
Author(s):  
Y. Shu ◽  
X. Ai ◽  
B. Q. Li
Keyword(s):  
Finite Element ◽  
Phase Field ◽  
Current Method ◽  
Great Promise ◽  
Adaptive Meshing ◽  
Galerkin Finite Element ◽  
Discontinuous Galerkin Finite Element ◽  
Discontinuous Finite Element ◽  
Discontinuous Model ◽  
Solidification Problem

A discontinuous Galerkin finite element computational methodology is presented for the solution of the coupled phase-field and heat conduction equations for modeling microstructure evolution during solidification. The details of the discontinuous formulation and the solution procedures are given. A major difference between the current method and those used in the literatures is the application of higher-order localized formulation and unstructured mesh, which holds a great promise in both parallel computing and adaptive meshing. The accuracy of the discontinuous model is checked with the analytic solution for a simple 1-D solidification problem. Numerical simulations and selected results are given for more complex 2-D dendrite structures formed during solidification. The calculated results are consistent with those reported in literature.

scholarly journals Parallel Matrix-Free Higher-Order Finite Element Solvers for Phase-Field Fracture Problems

2020 ◽  
Vol 25 (3) ◽  
pp. 40
Author(s):  
Daniel Jodlbauer ◽  
Ulrich Langer ◽  
Thomas Wick
Keyword(s):  
Finite Elements ◽  
Phase Field ◽  
Variational Problems ◽  
Discrete Version ◽  
Active Set ◽  
Newton Step ◽  
Variational Equality ◽  
Primal Dual ◽  
Fracture Models ◽  
Matrix Free

Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set methods. Specifically, low-order and high-order finite elements may be employed, where, for the latter, only few studies exist to date. The most time-consuming part in the discrete version of the primal-dual active set (semi-smooth Newton) algorithm consists in the solutions of changing linear systems arising at each semi-smooth Newton step. We propose a new parallel matrix-free monolithic multigrid preconditioner for these systems. We provide two numerical tests, and discuss the performance of the parallel solver proposed in the paper. Furthermore, we compare our new preconditioner with a block-AMG preconditioner available in the literature.

scholarly journals Exponential Finite Elements for a Phase Field Fracture Model

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 121-122 ◽  
Author(s):  
Charlotte Kuhn ◽  
Ralf Müller
Keyword(s):  
Finite Elements ◽  
Phase Field ◽  
Fracture Model
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