6533b7d1fe1ef96bd125c17f

RESEARCH PRODUCT

Numerical model of macro-segregation during directional crystallization process

J.s. SuchyEwa MajchrzakBohdan Mochnacki

subject

Mathematical optimizationComputationMetals and AlloysMechanicsSingular boundary methodBoundary knot methodIndustrial and Manufacturing EngineeringComputer Science ApplicationsModeling and SimulationScientific methodCeramics and CompositesBoundary value problemMacroBoundary element methodNumerical stabilityMathematics

description

Abstract In the paper the mathematical model of macro-segregation proceeding during the directional crystallization process is presented. The boundary-initial problem considered is discussed. Next the numerical approximation constructed on the basis of the boundary element method supplemented by a procedure called the artificial heat source method is described. The boundary condition on the solidification front resulting from the alloy component balance is introduced, while in finally the practical aspects of computations concerning the course of the process are discussed.

https://doi.org/10.1016/s0924-0136(97)00473-1