A naturally anti-diffusive compressible two phases Kapila model with boundedness preservation coupled to a high order finite volume solver

Abstract

This paper presents a two phases flow model combined with a high order finite volume solver on unstructured mesh. The solver is highly conservative and preserves the sharpness of the interface without any reconstruction. Special care has been taken for boundedness preservation, as a high order scheme does not guaranty the boundedness of the volume fraction.The efficiency of the method is demonstrated with two numerical experiments: the simple advection test and the interaction between the shock and the helium bubble. Although experiments have been carried out with fine mesh, it is also demonstrated that the method allows satisfactory results to be obtained with coarse mesh.

Numerical Prediction for Temperature Profile of Parts Manufactured using Fused Filament Fabrication

“…In our case, FVM consists of performing a heat transfer balance over a given infinitesimal volume. Based on the experience of Khelladi et al [56][57][58] in application of this method to several scientific problems, volume integrals of a partial differential equation are converted to the full surface. So, in the finite volume approach, the governing equations under their conservative form are widely used and the aim is to ensure that all characteristics remain similar in each cell/volume control.…”