Numerical simulation of coupled fluid flow and heat transfer with phase change using the Finite Pointset Method

Reséndiz‐Flores, Edgar O.; Saucedo-Zendejo, Félix R.

doi:10.1016/j.ijthermalsci.2018.07.008

Cited by 29 publications

(8 citation statements)

References 23 publications

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“…We note that similar GFDM approaches have already been used to simulate phase change processes [30,33,47]. They model solidification at low velocities, while the present work models a lot more turbulent phase change process in vaporization.…”

Section: Spatial Derivativesmentioning

confidence: 96%

See 1 more Smart Citation

Meshfree One-Fluid Modelling of Liquid-Vapor Phase Transitions

Suchde¹,

Kraus²,

Bock-Marbach³

et al. 2022

Preprint

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We introduce a meshfree collocation framework to model the phase change from liquid to vapor at or above the boiling point. While typical vaporization or boiling simulations focus on the vaporization from the bulk of the fluid, here we include the possibility of vaporization from the free surface, when a moving fluid comes into contact with a superheated surface. We present a continuum, one-fluid approach in which the liquid and vapor phases are modelled with the same constitutive equations, with different material properties. The novelty here is a monolithic approach without explicit modelling of the interface between the phases, neither in a sharp nor diffuse sense. Furthermore, no interface boundary conditions or source terms are needed between the liquid and vapour phases. Instead, the phase transition is modelled only using material properties varying with temperature. Towards this end, we also present an enrichment of strong form meshfree generelized finite difference methods (GFDM) to be able to accurately capture derivatives in the presence of jumps in density, viscosity and other physical properties. The numerical results show the ability of our proposed framework to model phase changes with large jumps.

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Section: Spatial Derivativesmentioning

confidence: 96%

“…They model solidification at low velocities, while the present work models a lot more turbulent phase change process in vaporization. Furthermore, [30,33,47] do not take the latent heat into account directly, as done in the current model.…”

Section: Spatial Derivativesmentioning

confidence: 99%

Meshfree One-Fluid Modelling of Liquid-Vapor Phase Transitions

Suchde¹,

Kraus²,

Bock-Marbach³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Note that since f ≥ 0 on Ω, according to the maximum principle (13) we expect u ≥ 0. In experiments, it could be observed that the strong form method could not satisfy this in all circumstances.…”

Section: Interior Interfacementioning

confidence: 98%

“…The goal there is to extend the basis of the function space, usually by discontinuous functions, and to achieve more accurate results that way. In present literature that deals with strong-from methods, the jumps are only of a few orders of magnitude [13,14,15]. The jumps in phase change simulations can be of several orders of magnitude such that existing methods are generally not used for these applications.…”

Section: Introductionmentioning

confidence: 99%

Meshfree Collocation for Elliptic Problems with Discontinuous Coefficients

Kraus,

Kuhnert,

Meister

et al. 2022

Preprint

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We present a meshfree generalized finite difference method (GFDM) for solving Poisson's equation with coefficients containing jump discontinuities up to several orders of magnitude. To discretize the diffusion operator, we formulate a strong form method that uses a smearing of the discontinuity, and a conservative formulation based on locally computed Voronoi cells. Additionally, we propose a novel conservative formulation of enforcing Neumann boundary conditions that is compatible with the conservative formulation of the diffusion operator. Finally, we introduce a way to switch between the strong form and the conservative formulation to obtain a locally conservative and positivity preserving scheme. The presented numerical methods are benchmarked against four test cases with varying complexity and different jump magnitudes on point clouds that are not aligned to the discontinuity. Our results show that the new hybrid method that switches between the two formulations produces better results than the standard GFDM approach for high jumps in the diffusivity parameter.

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“…Explicit FEMs have been proposed to find solutions for the temperature distribution in non-linear heat transfer problems, where the temperature dependence of the thermodynamic variables of specific heat and thermal conductivity were taken into consideration [ 19 ]. Modifications to the FEM have also been used to find more accurate solutions to the liquid–solid phase transition [ 17 , 20 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

Effects of Total Thermal Balance on the Thermal Energy Absorbed or Released by a High-Temperature Phase Change Material

2021

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Front tracking and enthalpy methods used to study phase change processes are based on a local thermal energy balance at the liquid–solid interface where mass accommodation methods are also used to account for the density change during the phase transition. Recently, it has been shown that a local thermal balance at the interface does not reproduce the thermodynamic equilibrium in adiabatic systems. Total thermal balance through the entire liquid–solid system can predict the correct thermodynamic equilibrium values of melted (solidified) mass, system size, and interface position. In this work, total thermal balance is applied to systems with isothermal–adiabatic boundary conditions to estimate the sensible and latent heat stored (released) by KNO3 and KNO3/NaNO3 salts which are used as high-temperature phase change materials. Relative percent differences between the solutions obtained with a local thermal balance at the interface and a total thermal balance for the thermal energy absorbed or released by high-temperature phase change materials are obtained. According to the total thermal balance proposed, a correction to the liquid–solid interface dynamics is introduced, which accounts for an extra amount of energy absorbed or released during the phase transition. It is shown that melting or solidification rates are modified by using a total thermal balance through the entire system. Finally, the numerical and semi-analytical methods illustrate that volume changes and the fraction of melted (solidified) solid (liquid) estimated through a local thermal balance at the interface are not invariant in adiabatic systems. The invariance of numerical and semi-analytical solutions in adiabatic systems is significantly improved through the proposed model.

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Numerical simulation of coupled fluid flow and heat transfer with phase change using the Finite Pointset Method

Cited by 29 publications

References 23 publications

Meshfree One-Fluid Modelling of Liquid-Vapor Phase Transitions

Meshfree One-Fluid Modelling of Liquid-Vapor Phase Transitions

Meshfree Collocation for Elliptic Problems with Discontinuous Coefficients

Effects of Total Thermal Balance on the Thermal Energy Absorbed or Released by a High-Temperature Phase Change Material

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