Accurate and Robust Fluid Analysis Using Cubic Interpolation with Volume/Area Coordinates (CIVA) Method on Unstructured Grids

Voronoi-cell finite difference method for accurate electronic structure calculation of polyatomic molecules on unstructured grids

We introduce a new numerical grid-based method on unstructured grids in the three-dimensional real-space to investigate the electronic structure of polyatomic molecules. The Voronoi-cell finite difference (VFD) method realizes a discrete Laplacian operator based on Voronoi cells and their natural neighbors, featuring high adaptivity and simplicity. To resolve multicenter Coulomb singularity in ...

A fully coupled fluid-particle flow solver using quadrature-based moment method with high-order realizable schemes on unstructured grids

Kinetic Equations containing terms for spatial transport, gravity, fluid drag and particle-particle collisions can be used to model dilute gas-particle flows. However, the enormity of independent variables makes direct numerical simulation of these equations almost impossible for practical problems. A viable alternative is to reformulate the problem in terms of moments of the velocity distribut...

Generalized multiresolution analysis on unstructured grids

Efficiency of high-order essentially non-oscillatory (ENO) approximations of conservation laws can be drastically improved if ideas of multiresolution analysis are taken into account. These methods of data compression not only reduce the necessary amount of discrete data but can also serve as tools in detecting local low-dimensional features in the numerical solution. We describe the mathematic...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

Continuous Adjoint Method for Unstructured Grids

Adjoint-based shape optimization methods have proven to be computationally efficient for aerodynamic problems. Themajority of the studies on adjoint methods have used structured grids to discretize the computational domain. Because of the potential advantages of unstructured grids for complex configurations, in this study we have developed and validated a continuous adjoint formulation for unst...