Numerical experiments using a HLLC-type scheme with ALE formulation for compressible two-phase flows five-equation models with phase transition
TL;DR: In this paper, a HLLC-type scheme is presented and implemented in the context of Arbitrary Lagrangian-Eulerian formulation for solving the five-equation models.
About: This article is published in Computers & Fluids.The article was published on 2014-05-01. It has received 47 citations till now. The article focuses on the topics: Fluid–structure interaction & Finite volume method.
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TL;DR: A new reconstruction scheme, so-called MUSCL-THINC-BVD scheme, to solve the five-equation model for interfacial two phase flows and is able to capture the material interface as a well-defined sharp jump in volume fraction, and obtain numerical solutions of superior quality in comparison to other existing methods.
84 citations
TL;DR: In this article, a table look-up method with bicubic interpolation based on the IAPWS-IF97 EoS formulation is proposed to calculate water properties when the independent variables of the EoS are the density and specific internal energy.
52 citations
TL;DR: A shock and interface capturing scheme is developed that uses the Harten–Lax–van Leer–Contact (HLLC) Riemann solver while a Tangent of Hyperbola for INterface Capturing (THINC) interface reconstruction scheme retains the fluid immiscibility condition in the volume fraction and phasic densities in the context of the five equation model.
35 citations
TL;DR: In this paper, a compressible and multiphase flows solver was developed for the study of liquid/gas flows involving shock waves and strong expansion waves leading to cavitation.
Abstract: A compressible and multiphase flows solver has been developed for the study of liquid/gas flows involving shock waves and strong expansion waves leading to cavitation. This solver has a structure similar to those of the one-fluid Euler solvers, differing from them by the presence of a void ratio transport-equation. The model and the system of equations to be simulated are presented. Results are displayed for shock and expansion tube problems, shock-bubble interaction and underwater explosion. Close agreement with reference solutions, obtained from explicit finite volume approaches, is demonstrated. Different numerical methods are additionally displayed to provide comparable and improved computational efficiency to the model and the system of equations. The overall procedure is therefore very well suited for use in general two-phase fluid flow simulations.
32 citations
TL;DR: In this paper, a two-fluid two-phase flow model was validated in some highly unsteady situations involving strong rarefaction waves and shocks in water-vapor flows.
32 citations
References
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Book•
24 Aug 2011TL;DR: In this article, a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented, which are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
Abstract: A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes.
3,095 citations
TL;DR: In this article, a new numerical technique is presented that has many advantages for obtaining solutions to a wide variety of time-dependent multidimensional fluid dynamics problems, including stability, accuracy, and zoning.
2,226 citations
TL;DR: The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored and the resulting solver is simpler and computationally more efficient than the latter, particulaly for non-ideal gases.
Abstract: The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored. This is achieved following the same principles as in the original solver. We also present new ways of obtaining wave-speed estimates. The resulting solver is as accurate and robust as the exact Riemann solver, but it is simpler and computationally more efficient than the latter, particulaly for non-ideal gases. The improved Riemann solver is implemented in the second-order WAF method and tested for one-dimensional problems with exact solutions and for a two-dimensional problem with experimental results.
1,973 citations
TL;DR: In this article, a two-phase mixture theory is presented which describes the deflagration-to-detonation transition (DDT) in reactive granular materials, based on the continuum theory of mixtures formulated to include the compressibility of all phases and the compaction behavior of the granular material.
1,155 citations
Book•
01 Apr 2005TL;DR: The aim of the present text is to try to bring much of this fundamental understanding together into one book and to present a unifying approach to the fundamental ideas of multiphase flows.
Abstract: The subject of multiphase flows encompasses a vast field, a host of different
technological contexts, a wide spectrum of different scales, a broad range of
engineering disciplines and a multitude of different analytical approaches.
Not surprisingly, the number of books dealing with the subject is voluminous.
For the student or researcher in the field of multiphase flow this broad
spectrum presents a problem for the experimental or analytical methodologies
that might be appropriate for his/her interests can be widely scattered
and difficult to find. The aim of the present text is to try to bring much
of this fundamental understanding together into one book and to present
a unifying approach to the fundamental ideas of multiphase flows. Consequently
the book summarizes those fundamental concepts with relevance to
a broad spectrum of multiphase flows. It does not pretend to present a comprehensive
review of the details of any one multiphase flow or technological
context though reference to books providing such reviews is included where
appropriate. This book is targeted at graduate students and researchers at
the cutting edge of investigations into the fundamental nature of multiphase
flows; it is intended as a reference book for the basic methods used in the
treatment of multiphase flows.
1,073 citations