In this paper, we present a Lattice Boltzmann scheme for diffusion on unstructured triangular grids. In this formulation there is no need for interpolation, as is required in other LB schemes on irregular grids. At the end of the propagation step, the lattice gas particles arrive exactly at neighbouring lattice sites, as is the case in LB schemes on Bravais lattices. The scheme is constructed u...

The paper describes the implementation details and validation results for an agglomeration multigrid procedure developed in the context of hybrid, unstructured grid solutions of aerodynamic flows. The governing equations are discretized using an unstructured grid finite volume method, which is capable of handling hybrid unstructured grids. A centered scheme as well as a second order version of ...

This paper addresses the problem of generating unstructured meshes with fixed connectivity for large rigid body motion. The proposed approach consists in generating a mesh in computational space for a generic configuration of the moving body. The management of body and mesh motion is then carried out in computational space using a sliding mesh paradigm. Afterwards, the mesh in physical space is...

We describe a new image-space acceleration technique that allows real-time direct volume rendering of large unstructured volumes. Our algorithm operates as a simple post-process and can be used to improve the performance of any existing volume renderer that is sensitive to image size. A joint bilateral upsampling filter allows images to be rendered efficiently at a fraction of their original si...

Saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. Because of heterogeneous nature of cell populations, the cell population balance equation (PBE) can be used to capture the dynamic behavior of such cultures. In this work, an unstructured-segregated model is used f...

Big data refers to collection of large and complex data sets which may be in structural, semi-structural, or unstructured format. The processing of such huge amount of data becomes difficult using traditional processing applications. The fundamental challenge is to deal with large volumes of data and extract useful information for future action. As a result, big data requires effective data ana...

A new moving mesh approach is used for numerical simulation of incompressible flow problems involving freesurfaces. The divergence form of the Navier-Stokes equation is discretized using an unstructured staggered mesh method. This method exploits the inherent advantages of the DelaunayVeronoi co-volumes, which exhibit an orthogonal behavior. The paper also describes the semi-Lagrangian mesh ada...

In this paper a new hybrid semi-implicit finite volume / element (FV/FE) scheme is presented for the numerical solution of compressible Euler and Navier–Stokes equations at all Mach numbers on unstructured staggered meshes in two three space dimensions. The chosen grid arrangement consists primal simplex mesh composed triangles or tetrahedra, an edge-based face-based dual mesh. governing are di...