Time Dependent Incompressible Flow Simulations With Finite Elements on Distributed Systems

1994 ◽  
pp. 1209-1216
Author(s):  
H. Daniels ◽  
A. Peters
Keyword(s):  
Distributed Systems ◽  
Finite Elements ◽  
Incompressible Flow ◽  
Time Dependent ◽  
Flow Simulations

Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements

2012 ◽  
Vol 29 (4) ◽  
pp. 1217-1237 ◽  
Author(s):  
Benjamin R. Cousins ◽  
Sabine Le Borne ◽  
Alexander Linke ◽  
Leo G. Rebholz ◽  
Zhen Wang
Keyword(s):  
Finite Elements ◽  
Incompressible Flow ◽  
Linear Solvers ◽  
Flow Simulations

Compressible Flow Simulations on a Massively Parallel Computer

1991 ◽  
Vol 02 (01) ◽  
pp. 430-436
Author(s):  
ELAINE S. ORAN ◽  
JAY P. BORIS
Keyword(s):  
Compressible Flow ◽  
Chemical Reactions ◽  
Large Scale ◽  
Model Development ◽  
Time Dependent ◽  
Parallel Computer ◽  
Massively Parallel ◽  
Parallel Solution ◽  
Flow Simulations ◽  
Connection Machine

This paper describes model development and computations of multidimensional, highly compressible, time-dependent reacting on a Connection Machine (CM). We briefly discuss computational timings compared to a Cray YMP speed, optimal use of the hardware and software available, treatment of boundary conditions, and parallel solution of terms representing chemical reactions. In addition, we show the practical use of the system for large-scale reacting and nonreacting flows.

scholarly journals hp-FEM for the fractional heat equation

2020 ◽  
Author(s):  
Jens Markus Melenk ◽  
Alexander Rieder
Keyword(s):  
Finite Elements ◽  
Heat Equation ◽  
Exponential Convergence ◽  
Time Dependent ◽  
Nonlocal Operator ◽  
Time Stepping ◽  
Fractional Heat Equation ◽  
Time Dependent Problem ◽  
Hp Finite Elements ◽  
Abstract Framework

Abstract We consider a time-dependent problem generated by a nonlocal operator in space. Applying for the spatial discretization a scheme based on $hp$-finite elements and a Caffarelli–Silvestre extension we obtain a semidiscrete semigroup. The discretization in time is carried out by using $hp$-discontinuous Galerkin based time stepping. We prove exponential convergence for such a method in an abstract framework for the discretization in the spatial domain $\varOmega $.

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