Publication | Closed Access
A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
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References
1972
Year
Numerical AnalysisEngineeringHeat FlowComputational MechanicsConvective Heat TransferHeat Transfer ProcessNumerical SimulationGrid SystemNatural ConvectionBoundary Element MethodMethod Of Fundamental SolutionFree Boundary ProblemHeat TransferMoving Boundary ProblemsNumerical Method For Partial Differential EquationCubic PolynomialsCubic SplinesNumerical TreatmentThermal Engineering
A new approach to a heat-flow problem involving a moving boundary makes use of a grid system which moves with the boundary. Two variations of the method are described. In the first, necessary interpolations are performed by using cubic splines; in the second, cubic polynomials are employed. The method smooths out irregularities in the motion of the boundary which were evident in previous calculations based on a fixed grid system.