Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration

2005 ◽  
Vol 204 (2) ◽  
pp. 760-783 ◽  
Author(s):  
Peter N. Brown ◽  
Dana E. Shumaker ◽  
Carol S. Woodward
Keyword(s):  
Large Scale ◽  
Time Integration ◽  
High Order ◽  
Radiation Diffusion ◽  
Fully Implicit ◽  
High Order Time ◽  
Equilibrium Radiation ◽  
Non Equilibrium

Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem

2011 ◽  
Vol 10 (4) ◽  
pp. 844-866 ◽  
Author(s):  
Jingyan Yue ◽  
Guangwei Yuan
Keyword(s):  
Iterative Method ◽  
Time Integration ◽  
Step Size ◽  
Time Step ◽  
Radiation Diffusion ◽  
Reaction Diffusion Systems ◽  
Time Step Size ◽  
Step Control ◽  
Equilibrium Radiation ◽  
Non Equilibrium

AbstractFor a new nonlinear iterative method named as Picard-Newton (P-N) iterative method for the solution of the time-dependent reaction-diffusion systems, which arise in non-equilibrium radiation diffusion applications, two time step control methods are investigated and a study of temporal accuracy of a first order time integration is presented. The non-equilibrium radiation diffusion problems with flux limiter are considered, which appends pesky complexity and nonlinearity to the diffusion coefficient. Numerical results are presented to demonstrate that compared with Picard method, for a desired accuracy, significant increase in solution efficiency can be obtained by Picard-Newton method with the suitable time step size selection.

scholarly journals Conservative High-Order Time Integration for Lagrangian Hydrodynamics

2021 ◽  
Vol 43 (1) ◽  
pp. A221-A241
Author(s):  
Adrian Sandu ◽  
Vladimir Tomov ◽  
Lenka Cervena ◽  
Tzanio Kolev
Keyword(s):  
Time Integration ◽  
High Order ◽  
Lagrangian Hydrodynamics ◽  
High Order Time

scholarly journals High-Order Time Integration in the p-Version of Finite Elements

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 201-202
Author(s):  
Torben Netz ◽  
Stefan Hartmann
Keyword(s):  
Finite Elements ◽  
Time Integration ◽  
High Order ◽  
High Order Time
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