Numerical simulation of convection/diffusion phase change problems—a review

Samarskii, A.A.; Vabishchevich, Petr N.; Iliev, Oleg; Churbanov, Alexander

doi:10.1016/0017-9310(93)90071-d

Cited by 97 publications

(63 citation statements)

References 50 publications

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“…Compared to the multi-domain method, the single-domain method uses the balance equations for momentum and energy for the entire physical domain [45][46][47]. The region between the liquid and solid phase will be calculated also with a porous zone.…”

mentioning

confidence: 99%

Influence of the Fin Design on the Melting and Solidification Process of NaNO3 in a Thermal Energy Storage System

Walter¹,

Beck²,

Hameter³

2015

JEPE

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Abstract:The melting and solidification process of sodium nitrate, which is used as energy storage material, is studied in a vertical arranged energy storage device with two different bimetal finned tube designs (with and without additional lateral fins) for enhancing the heat transfer. The finned tube design consists of a plain steel tube while the material for the longitudinal (axial) fins is aluminum. The investigation analyses the influence of the lateral fins on the charging and discharging process. Three-dimensional transient numerical simulations are performed using the ANSYS Fluent 14.5 software. The results show that, every obstruction given by lateral fins reduces the melting and solidification velocity in direction to the outer shell.

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mentioning

confidence: 99%

Influence of the Fin Design on the Melting and Solidification Process of NaNO3 in a Thermal Energy Storage System

Walter¹,

Beck²,

Hameter³

2015

JEPE

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“…These include flows in porous media, [25], time dependent incompressible viscous flows, [10,16,24], transient compressible viscous flows, [33,36]. The rigorous analysis of Brinkman's system from the point of view fictitious domain method was carried out in [2].…”

Section: Highly Porous Materials On a Macro-and Micro-scalesmentioning

confidence: 99%

Variational Multiscale Finite Element Method for Flows in Highly Porous Media

Iliev¹,

Lazarov²,

Willems³

2011

Multiscale Model. Simul.

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Abstract. We present a two-scale finite element method for solving Brinkman's and Darcy's equations. These systems of equations model fluid flows in highly porous and porous media, respectively. The method uses a recently proposed discontinuous Galerkin FEM for Stokes' equations by Wang and Ye and the concept of subgrid approximation developed by Arbogast for Darcy's equations. In order to reduce the "resonance error" and to ensure convergence to the global fine solution the algorithm is put in the framework of alternating Schwarz iterations using subdomains around the coarse-grid boundaries. The discussed algorithms are implemented using the Deal.II finite element library and are tested on a number of model problems.

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“…This bibliography contains 2500 titles on moving boundary problems. In [16] a recent overview is given of numerical methods to simulate convection/diffusion phase change problems.…”

Section: A Mathematical Model For a Dissolution Processmentioning

confidence: 99%