Bantwal R. Baliga

Bio: Bantwal R. Baliga is an academic researcher from McGill University. The author has contributed to research in topics: Finite element method & Finite volume method. The author has an hindex of 6, co-authored 19 publications receiving 241 citations.

Co-located equal-order control-volume finite-element method for multidimensional, incompressible, fluid flow—part ii: verification

Abstract: A co-located equal-order control-volume-based finite-element method (CVFEW) for two- and three-dimensional, incompressible, viscous fluid flow is presented. The method works directly with the primitive variables. Triangular elements and polygonal control volumes, and tetrahedral elements and polyhedral control volumes are used to discretize the calculation domains in two- and three-dimensional problems, respectively. Two available flow-oriented upwind schemes (FLO and FLOS) and a novel mass-weighted skew upwind scheme (MAW) are investigated. In each dement, the velocity components in the mass flux terms are interpolated by special functions that prevent the generation of spurious pressure oscillations. The discretized equations are solved using an iterative sequential variable adjustment algorithm. Verification of the proposed CVFEM is presented in a companion article.

Pressure-Based Finite-Volume Methods in Computational Fluid Dynamics

Abstract: Pressure-based finite-volume techniques have emerged as the methods of choice for a wide variety of industrial applications involving incompressible fluid flow. In this paper, we trace the evolution of this class of solution techniques. We review the basics of the finite-volume method, and trace its extension to unstructured meshes through the use of cell-based and control-volume finite-element schemes. A critical component of the solution of incompressible flows is the issue of pressure-velocity storage and coupling. The development of staggered-mesh schemes and segregated solution techniques such as the SIMPLE algorithm are reviewed. Co-located storage schemes, which seek to replace staggered-mesh approaches, are presented. Coupled multigrid schemes, which promise to replace segregated-solution approaches, are discussed. Extensions of pressure-based techniques to compressible flows are presented. Finally, the shortcomings of existing techniques and directions for future research are discussed.

Numerical prediction of size, mass, temperature and trajectory of cylindrical wind-driven firebrands

Abstract: Mathematical models and numerical solution procedures for predicting the trajectory, oscillation, possible rotation, and mass and size time-evolution of cylindrical wind-driven firebrands are described and discussed. Two test problems and the results, used for validating the mathematical models, are presented. In one, experimental measurements of non-burning cylindrical particles falling in still air are compared to numerical predictions and in the other, predictions of time-evolution of mass and size of stationary burning particles in air flows are compared with experimental results reported in the literature. RESULTS yielded by the proposed models for a demonstration problem involving cylindrical wind-driven firebrands, with the same initial volume, mass and position, but different initial aspect ratios and distinct initial orientations relative to the wind velocity, are then presented. These results show the following: the horizontal distance travelled by the firebrand from release to landing locations is an increasing function of its initial aspect ratio; and the initial orientation of the firebrand, and its subsequent oscillations including possible rotation, have a significant influence on its trajectory, thus it is important to account for them in mathematical models formulated for predicting the spread of fires by spotting.

Implementation of the Stress Jump Condition in a Control-Volume Finite-Element Method for the Simulation of Laminar Coupled Flows in Adjacent Open and Porous Domains

Abstract: Laminar coupled flow of a Newtonian fluid in adjacent open and fluid-saturated porous domains is modeled using the continuity and the Navier-Stokes equations in the open domain, and a continuity equation and the Brinkman-Forchheimer equations in the porous domain. At the interface, a jump condition is used with two adjustable coefficients: one related to an excess viscous stress and the other to an excess inertial stress. This mathematical model is solved using a control-volume finite-element method and a novel procedure for incorporating the interfacial stress jump condition. The solutions of two illustrative example problems are also presented and discussed.

Numerical Heat Transfer And Fluid Flow

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Modeling groundwater flow and contaminant transport

Abstract: In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use, and contamination. To face the challenge, good planning and management practices are needed. A key to the management of groundwater is the ability to model the movement of fluids and contaminants. The purpose of this book is to construct conceptual and mathematical models that can provide the information required for making decisions associated with the management of groundwater resources, and the remediation of contaminated aquifers. The basic approach of this book is to accurately describe the underlying physics of groundwater flow and solute transport in heterogeneous porous media, starting at the microscopic level, and to rigorously derive their mathematical representations at the macroscopic levels.

A Viscous Three-Dimensional Differential/Actuator-Disk Method for the Aerodynamic Analysis of Wind Farms

Abstract: Computational Fluid Dynamics (CFD) is a promising tool for the analysis and optimization of wind turbine positioning inside wind parks (also known as wind farms) in order to maximize power production. In this paper, 3-D, time-averaged, steady-state, incompressible Navier-Stokes equations, in which wind turbines are represented by surficial forces, are solved using a Control-Volume Finite Element Method (CVFEM). The fundamentals of developing a practical 3-D method are discussed in this paper with an emphasis on some of the challenges that arose during their implementation. For isolated turbines, results have indicated that the proposed 3-D method attains the same level of accuracy, in terms of performance predictions, as the previously developed 2-D axisymmetric method and the well-known momentum-strip theory. Furthermore, the capability of the proposed method to predict wind turbine wake characteristics is also illustrated. Satisfactory agreement with experimental measurements has been achieved. The analysis of a two-row periodic wind farm in neutral atmospheric boundary layers demonstrate the existence of positive interference effects (venturi effects) as well as the dominant influence of mutual interference on the performance of dense wind turbine clusters.