Introduction to Computational Fluid Dynamics

I Introduction and Essentials 1 1 Introduction 3 1.1 CFD: What is it? 3 1.2 CFD: Why to study? 15 1.3 Novelty, Scope, and Purpose of this Book 16 2 Introduction to CFD: Development, Application, and Analysis 23 2.1 CFD Development 23 2.2 CFD Application 35 2.3 CFD Analysis 38 2.4 Closure 39 3 Essentials of Fluid-Dynamics and Heat-Transfer for CFD 41 3.1 Physical Laws 42 3.2 Momentum and Energy Transport Mechanisms 46 3.3 Physical Law based Differential Formulation 48 3.4 Generalized Volumetric and Flux Terms, and their Dif-ferential Formulation 57 3.5 Mathematical Formulation 63 3.6 Closure 71 4 Essentials of Numerical-Methods for CFD 73 4.1 Finite Difference Method: A Differential to Algebraic Formulation for Governing PDE and BCs 75 4.2 Iterative Solution of System of LAEs for a Flow Property 93 4.3 Numerical Differentiation for Local Engineering-Parameters 105 4.4 Numerical Integration for the Total value of Engineering-Parameters 110 4.5 Closure 116 II CFD for a Cartesian-Geometry 119 5 Computational Heat Conduction 121 5.1 Physical Law based Finite Volume Method 122 5.2 Finite Difference Method for Boundary Conditions 138 5.3 Flux based Solution Methodology on a Uniform Grid: Explicit-Method 139 5.4 Coe-cients of LAEs based Solution Methodology on a Non-Uniform Grid: Explicit and Implicit Method 154 6 Computational Heat Advection 179 6.1 Physical Law based Finite Volume Method 180 6.2 Flux based Solution Methodology on a Uniform Grid: Explicit-Method 194 6.3 Coe-cients of LAEs based Solution Methodology on a Non-Uniform Grid: Explicit and Implicit Method 207 7 Computational Heat Convection 229 7.1 Physical Law based Finite Volume Method 229 7.2 Flux based Solution Methodology on a Uniform Grid: Explicit-Method 235 7.3 Coe-cients of LAEs based Solution Methodology on a Non-Uniform Grid: Explicit and Implicit Method 242 8 Computational Fluid Dynamics: Physical Law based Finite Volume Method 251 8.1 Generalized Variables for the Combined Heat and Fluid Flow 252 8.2 Conservation Laws for a Control Volume 255 8.3 Algebraic Formulation 259 8.4 Approximations 260 8.5 Approximated Algebraic Formulation 263 8.6 Closure 269 9 Computational Fluid Dynamics on a Staggered Grid 271 9.1 Challenges in the CFD Development 273 9.2 A Staggered Grid to avoid Pressure-Velocity Decoupling 275 9.3 Physical Law based FVM for a Staggered Grid 277 9.4 Flux based Solution Methodology on a Uniform Grid: Semi-Explicit Method 281 9.5 Initial and Boundary Conditions 300 10 Computational Fluid Dynamics on a Co-located Grid 309 10.1 Momentum-Interpolation Method: Strategy to avoid the Pressure-Velocity Decoupling on a Co-located Grid 310 10.2 Coe-cients of LAEs based Solution Methodology on a Non-Uniform Grid: Semi-Explicit and Semi-Implicit Method 314 III CFD for a Complex-Geometry 331 11 Computational Heat Conduction on a Curvilinear Grid 333 11.1 Curvilinear Grid Generation 333 11.2 Physical Law based Finite Volume Method 343 11.3 Computation of Geometrical Properties 349 11.4 Flux based Solution Methodology 352 12 Computational Fluid Dynamics on a Curvilinear Grid 361 12.1 Physical Law based Finite Volume Method 361 12.2 Solution Methodology: Semi-Explicit Method 372 Problems 380 References 383 Index 389

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• Física da Matéria Condensada (física do estado sólido e estado líquido)
• Mecânica dos fluidos