Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids.

Autor:	Gusev, A. O., Mazhorova, O. S.
Předmět:	PHASE transitions TRANSPORT equation CONSERVATION laws (Physics) HEAT transfer VELOCITY
Zdroj:	Differential Equations; Jul2024, Vol. 60 Issue 7, p900-915, 16p
Abstrakt:	A conservative finite volume scheme for heat transfer problem in a two-dimensional domain with moving boundaries is presented. The two-phase Stefan problem is considered as an example. The front-fixing technique is applied to track the moving interface between the solid and the liquid. The time-varying physical domain is mapped to a fixed computational space with regular boundaries. Finite volume approximation to governing equations is constructed in the computational domain on a fixed rectangular grid. The geometric conservation law is incorporated in the numerical scheme. The Jacobian and the grid velocities of the control volume are evaluated to satisfy the discrete form of the Jacobian transport equation. This procedure guarantees the enforcing of the space conservation law in the physical domain. The numerical scheme inherits the basic properties of the original differential problem. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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