A lattice Boltzmann formulation for relativistic fluids is presented and numerically validated through quantitative comparison with recent hydrodynamic simulations of relativistic fluids. In order to illustrate its capability to handle complex geometries, the scheme is also applied to the case of a three-dimensional relativistic shock wave, generated by a supernova explosion, impacting on a mas...

A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological descriptors known as tensorial Minkowski functionals....

An unstructured grid method is presented to compute three-dimensional compressible turbulent flows for complex geometries. The Navier-Stokes equations along with the one equation turbulence model of Spalart-Allmaras are solved using a parallel, matrix-free implicit method on unstructured tetrahedral grids. The developed method has been used to predict drags in the transonic regime for both DLRF...

In Part I, we described an efficient and robust algorithm for computing a common refinement of two surface meshes. In this paper, we present a theoretical verification ofthe robustness of our algorithm by showing the topological preservation of the intersection principle, which we used to resolve topological inconsistencies caused by numerical errors. To enhance robustness in practice for compl...

We prove the existence of $m$-armed spiral wave solutions for complex Ginzburg-Landau equation in circular and spherical geometries. establish a new global bifurcation approach generalize results rigidly-rotating waves. Moreover, we two patterns: frozen spirals geometries, 2-tip geometry.

Several methodologies published in the literature can be used to construct realistic pore networks for simple rocks, whereas in complex pore geometry formations, as formed in tight reservoirs, such a construction still remains a challenge. A basic understanding of pore structure and topology is essential to overcome the challenges associated with the pore scale modeling of tight porous media. A...