Calculation of Heat Transfer in Heterogeneous Structures such as Honeycomb by Using Numerical Solution of Stochastic Differential Equations
A computing method of heat transfer in heterogeneous structures is proposed in the paper. The problem is mathematically described as the parabolic boundary value problem with discontinuous coefficients. The generalized solution of this parabolic problem can be approached by the solution of the parabolic boundary problem with smoothed coefficients. To obtain estimates of the solution of the problem with smoothed coefficients the method of numerical solution of stochastic differential equations (SDE) is applied. Some numerical results for honeycomb structures are presented.
Dashnor Hoxha, Francisco E. Rivera and Ian McAndrew
S. A. Gusev and V. N. Nikolaev, "Calculation of Heat Transfer in Heterogeneous Structures such as Honeycomb by Using Numerical Solution of Stochastic Differential Equations", Advanced Materials Research, Vol. 1016, pp. 758-763, 2014