Finite-element algorithm for radiative transfer in vertically inhomogeneous media: numerical scheme and applications

1995 ◽  
Vol 34 (36) ◽  
pp. 8460 ◽  
Author(s):  
Viatcheslav B. Kisselev ◽  
Laura Roberti ◽  
Giovanni Perona
Keyword(s):  
Finite Element ◽  
Radiative Transfer ◽  
Numerical Scheme ◽  
Inhomogeneous Media ◽  
Element Algorithm

Numerical Scheme to Simulate Combined Mixing and Separating Newtonian Fluid Flow in a Channel

2013 ◽  
Vol 303-306 ◽  
pp. 2798-2805
Author(s):  
Rahim Bux Khokhar ◽  
Y. K. Chen ◽  
R. K. Calay ◽  
Y Xu
Keyword(s):  
Finite Element ◽  
Fluid Flow ◽  
Numerical Scheme ◽  
Implicit Time ◽  
Finite Element Scheme ◽  
Time Stepping ◽  
The Common ◽  
Flow Directions ◽  
Steady Solutions ◽  
Element Algorithm

The paper presents a semi-implicit time-stepping Taylor-Galerkin pressure correction primitive variable finite element algorithm to simulate fluid flow for two dimensional planar combined mixing and separating geometry. Two cases; one with reversed channel flows interacting through a gap in the common separating walls filled with Newtonian fluids in both arms of the channels and other with unidirectional flows were modeled in order to examine the performance of the scheme. Steady solutions were obtained using unsteady finite element scheme. The influence of increasing inertia on variation in flow directions and varying flow rate configurations in both channel arms are studied in detail. The scheme is found to be fast, robust and stable for varying Reynolds number.

Mixed finite element algorithm for a nonlinear time fractional wave model

2021 ◽  
Vol 188 ◽  
pp. 60-76
Author(s):  
Jinfeng Wang ◽  
Baoli Yin ◽  
Yang Liu ◽  
Hong Li ◽  
Zhichao Fang
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Wave Model ◽  
Element Algorithm

The Numerical Analysis and Simulation of a Linearized Crank-Nicolson H1-GMFEM for Nonlinear Coupled BBM Equations

2014 ◽  
Vol 513-517 ◽  
pp. 1919-1926 ◽  
Author(s):  
Min Zhang ◽  
Zu Deng Yu ◽  
Yang Liu ◽  
Hong Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Scheme ◽  
Mixed Finite Element ◽  
A Priori ◽  
Numerical Test ◽  
Mixed Finite Element Method ◽  
Spatial Direction ◽  
Time Direction ◽  
Crank Nicolson

In this article, the numerical scheme of a linearized Crank-Nicolson (C-N) method based on H1-Galerkin mixed finite element method (H1-GMFEM) is studied and analyzed for nonlinear coupled BBM equations. In this method, the spatial direction is approximated by an H1-GMFEM and the time direction is discretized by a linearized Crank-Nicolson method. Some optimal a priori error results are derived for four important variables. For conforming the theoretical analysis, a numerical test is presented.

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