A Characteristic Scheme for Solving the Transient Two-Phase Flow Equations Applicable to The Inlet System of a Reciprocating Engine

1988 ◽  
pp. 307-321
Author(s):  
Low Seow Chay
Keyword(s):  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Inlet System ◽  
Flow Equations ◽  
Reciprocating Engine ◽  
Characteristic Scheme

NUMERICAL SOLUTION FOR HYPERBOLIC CONSERVATIVE TWO-PHASE FLOW EQUATIONS

2007 ◽  
Vol 04 (02) ◽  
pp. 299-333 ◽  
Author(s):  
D. ZEIDAN ◽  
A. SLAOUTI ◽  
E. ROMENSKI ◽  
E. F. TORO
Keyword(s):  
Numerical Solution ◽  
Riemann Problem ◽  
Two Phase Flow ◽  
Numerical Dissipation ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations ◽  
Flow Problems ◽  
Slope Limiter ◽  
Two Phases

We outline an approximate solution for the numerical simulation of two-phase fluid flows with a relative velocity between the two phases. A unified two-phase flow model is proposed for the description of the gas–liquid processes which leads to a system of hyperbolic differential equations in a conservative form. A numerical algorithm based on a splitting approach for the numerical solution of the model is proposed. The associated Riemann problem is solved numerically using Godunov methods of centered-type. Results show the importance of the Riemann problem and of centered schemes in the solution of the two-phase flow problems. In particular, it is demonstrated that the Slope Limiter Centered (SLIC) scheme gives a low numerical dissipation at the contact discontinuities, which makes it suitable for simulations of practical two-phase flow processes.

Electrostatic Charged Two-Phase Flow Equations

2007 ◽  
Author(s):  
Zhentao Wang ◽  
Jianlong Wen ◽  
Junfeng Wang ◽  
Zhihua Tang ◽  
Tiqian Luo
Keyword(s):  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations

scholarly journals Adjoint analysis of Buckley-Leverett and two-phase flow equations

2018 ◽  
Vol 22 (2) ◽  
pp. 527-542 ◽  
Author(s):  
Savithru Jayasinghe ◽  
David L. Darmofal ◽  
Marshall C. Galbraith ◽  
Nicholas K. Burgess ◽  
Steven R. Allmaras
Keyword(s):  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations ◽  
Adjoint Analysis

scholarly journals Magma ascent mechanisms in the transition regime from solitary porosity waves to diapirism

Solid Earth ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 1549-1561
Author(s):  
Janik Dohmen ◽  
Harro Schmeling
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Two Phase Flow ◽  
Magma Ascent ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations ◽  
Time To Build ◽  
Wide Range ◽  
The Matrix

Abstract. In partially molten regions inside the Earth, melt buoyancy may trigger upwelling of both solid and fluid phases, i.e., diapirism. If the melt is allowed to move separately with respect to the matrix, melt perturbations may evolve into solitary porosity waves. While diapirs may form on a wide range of scales, porosity waves are restricted to sizes of a few times the compaction length. Thus, the size of a partially molten perturbation in terms of compaction length controls whether material is dominantly transported by porosity waves or by diapirism. We study the transition from diapiric rise to solitary porosity waves by solving the two-phase flow equations of conservation of mass and momentum in 2D with porosity-dependent matrix viscosity. We systematically vary the initial size of a porosity perturbation from 1.8 to 120 times the compaction length. If the perturbation is of the order of a few compaction lengths, a single solitary wave will emerge, either with a positive or negative vertical matrix flux. If melt is not allowed to move separately to the matrix a diapir will emerge. In between these end members we observe a regime where the partially molten perturbation will split up into numerous solitary waves, whose phase velocity is so low compared to the Stokes velocity that the whole swarm of waves will ascend jointly as a diapir, just slowly elongating due to a higher amplitude main solitary wave. Only if the melt is not allowed to move separately to the matrix will no solitary waves build up, but as soon as two-phase flow is enabled solitary waves will eventually emerge. The required time to build them up increases nonlinearly with the perturbation radius in terms of compaction length and might be too long to allow for them in nature in many cases.

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