An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres

摘要: Abstract The boundary-value problem of heat conduction through a multiparticle system in medium different conductivity λ e is considered. particle set random arrangement N equisized spheres λ′ cubic cell continued periodically into all space. mean temperature gradient given. reduced to an infinite equations for the coefficients expansion spherical harmonics on interfaces. algorithm exploits idea that only interaction low-frequency long-ranged construct "economical truncation," as well rotational transformations promote efficient iterative solution. method capable providing high resolution arbitrary ratio γ = λ′/λ and enabling large scale simulations effective highly concentrated dispersions with various microstructures even small computer.