A Comparison of Parallel Algorithms for the Numerical Simulation of Multiphase Flows

2009 ◽  
Author(s):  
E. Wassen ◽  
Th. Frank ◽  
Q. Yu
Keyword(s):  
Numerical Simulation ◽  
Parallel Algorithms ◽  
Multiphase Flows

Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

2019 ◽  
Vol 30 (11) ◽  
pp. 4711-4733 ◽  
Author(s):  
Omar Abu Arqub
Keyword(s):  
Numerical Simulation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Multiphase Flows ◽  
Reproducing Kernel ◽  
Numerical Solutions ◽  
Kernel Method ◽  
Fractional Partial Differential Equations ◽  
Reproducing Kernel Method ◽  
Content Type

Purpose The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of physics and engineering. The purpose of this paper is to present results on the numerical simulation for time-fractional partial differential equations arising in transonic multiphase flows, which are described by the Tricomi and the Keldysh equations of Robin functions types. Design/methodology/approach Those resulting mathematical models are solved by using the reproducing kernel method, which provide appropriate solutions in term of infinite series formula. Convergence analysis, error estimations and error bounds under some hypotheses, which provide the theoretical basis of the proposed method are also discussed. Findings The dynamical properties of these numerical solutions are discussed and the profiles of several representative numerical solutions are illustrated. Finally, the prospects of the gained results and the method are discussed through academic validations. Originality/value In this paper and for the first time: the authors presented results on the numerical simulation for classes of time-fractional PDEs such as those found in the transonic multiphase flows. The authors applied the reproducing kernel method systematically for the numerical solutions of time-fractional Tricomi and Keldysh equations subject to Robin functions types.

A parallel adaptive mesh method for the numerical simulation of multiphase flows

2013 ◽  
Vol 87 ◽  
pp. 115-131 ◽  
Author(s):  
Joseph M. Rodriguez ◽  
Onkar Sahni ◽  
Richard T. Lahey ◽  
Kenneth E. Jansen
Keyword(s):  
Numerical Simulation ◽  
Multiphase Flows ◽  
Adaptive Mesh ◽  
Adaptive Mesh Method ◽  
Mesh Method

Numerical simulation of multiphase flows of CO2 storage in saline aquifers in Daqingzijing oilfield, China

2011 ◽  
Vol 14 (4) ◽  
pp. 609-618 ◽  
Author(s):  
Duo X. Yang ◽  
Rong S. Zeng ◽  
Y. Zhang ◽  
Zhong Q. Wang ◽  
S. Wang ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Multiphase Flows ◽  
Co2 Storage ◽  
Saline Aquifers

Numerical Simulation of Multiphase Flows in Solid Rocket Motors

2009 ◽  
Author(s):  
Antonio Attili ◽  
Bernardo Favini ◽  
Maurizio Di Giacinto ◽  
Ferruccio Serraglia
Keyword(s):  
Numerical Simulation ◽  
Multiphase Flows ◽  
Solid Rocket Motors ◽  
Rocket Motors ◽  
Solid Rocket

Numerical simulation of disperse multiphase flows with an application in power engineering

2003 ◽  
Vol 41 (12) ◽  
pp. 1253-1271 ◽  
Author(s):  
K. Bernert ◽  
Th. Frank ◽  
H. Schneider ◽  
K. Pachler
Keyword(s):  
Numerical Simulation ◽  
Multiphase Flows ◽  
Power Engineering
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