This paper discusses numerical and modeling issues that arise in cell-centered finitevolume methods (FVM) for large eddy simulation (LES) of compressible flows on unstructured grids. These are: accuracy and stability of flux interpolation scheme, shock capturing strategy, and subgrid-scale (SGS) modeling. To enhance the accuracy of flux reconstruction, a new scheme with added first derivative t...

This study introduces a Multiple-Network Poroelastic Theory (MPET) model, coupled with finitevolume based Computational fluid dynamics (CFD) for the purpose of studying, in detail, the effects of obstructing Cerebrospinal fluid (CSF) transport within an image-derived cerebral environment. The MPET representation allows the investigation of fluid transport between CSF, brain parenchyma and cereb...

We present a hybrid numerical method for computing the propagation of a diffusing passive pollutant in shallow water. The flow is modeled by the SaintVenant system of shallow water equations and the pollutant propagation is described by a convection-diffusion equation. In this paper, we extend the hybrid finite-volume-particle (FVP) method, which was originally introduced in [CK04, CKP06] for t...

Truncation-error analysis is a reliable tool in predicting convergence rates of discretization errors on regular smooth grids. However, it is often misleading in application to finitevolume discretization schemes on irregular (e.g., unstructured) grids. Convergence of truncation errors severely degrades on general irregular grids; a design-order convergence can be achieved only on grids with a ...

The Implicit Continuous-fluid Eulerian (ICE) method is a successful and widely used semi-implicit finitevolume method that applies to flows that range from supersonic to subsonic regimes. The classical ICE method has been expanded to problems in multiphase flow which span a wide area of science and engineering. The ICE method is utilized by the C-SAFE code Uintah written at the University of Ut...

We investigate the low-temperature phase diagram of the d-dimensional (d~> 2) solid-on-solid (SOS) interface constrained to lie above a rigid wall to which it is attracted by a constant force. We prove uniqueness of the Gibbs state and exponentially fast convergence (in the diameter of the domain) of the finitevolume expectation of local observables, for all values of parameters where uniquenes...

In this follow-up of our previous work [Zhang et. al., A fourth-order accurate finitevolume method with structured adaptive mesh refinement for solving the advectiondiffusion equation, SIAM J. Sci. Comput. 34 (2012) B179-B201], the author proposes a high-order semi-implicit method for numerically solving the incompressible NavierStokes equations on locally-refined periodic domains. Fourth-order...

In a recent work, we introduced a numerical approach that combines the mixed-finite-element (MFE) and the discontinuous Galerkin (DG) methods for compositional modeling in homogeneous and heterogeneous porous media. In this work, we extend our numerical approach to 2D fractured media. We use the discrete-fracture model (crossflow equilibrium) to approximate the two-phase flow with mass transfer...

The nsmb code (Navier-Stokes Multi-Block) solves the fully coupled system of equations simultaneously using a cell-centered finitevolume approach. This note assesses the sensitivity to some turbulence models and numerical schemes implemented in nsmb when computing two test cases in standard mode, that is, without tuning the code to these two cases. The cases are 1. subsonic flow around the ms(1...

We present an approach to solving hyperbolic conservation laws by finitevolume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a bloc...