Published 2/2023MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 4.23 GB | Duration: 12h 1m
A minimum-pain path to your first CFD Solver What you'll learn Understand how to derive, manipulate and simplify the Navier Stokes equations Discretize the fluid dynamical equations and predict the accuracy, stability and error of numerical schemes Write, run, expand and validate CFD solvers Apply lessons learned to a handful of insightful applications like the shock tubes and lid-driven cavities Requirements Basic Calculus Newton's Laws of Motion Vector Calculus (Optional) Programming (Optional) No experience with CFD software assumed Description A working knowledge of Computational Fluid Dynamics (CFD) is fast becoming a pre-requisite in many domains of eeering. In this course you will learn the fundamentals of this fascinating tool, including - but not limited to - the following concepts and associated applications:- Using the Taylor series to tailor (no pun intended) approximations to derivatives of desired accuracy- Discretizing differential equations and predicting the behavior (stability and accuracy) of these schemes- The advantages and shortcomings of Explicit vs Implicit Methods- Modified PDEs and types of error (Dissipative vs Dispersive)- The intuition behind mathematical ideas like 'Substantial Derivative' and 'Divergence'- Deriving the Navier-Stokes (NS) system of equations from first principles- Manipulating and simplifying the NS equations to find the model suitable for your application- Discretization of the NS equations using methods like MacCormack's scheme with artificial viscosity- Using models of various fidelities (and attached Python code) to solve interesting problems like lid-driven cavities, shock tubes and shock-vortex interactions- Extending the solvers presented to handle variations of canonical problemsAs the title of the course suggests, this is meant to be an (extended) introduction, implying that several concepts have been deliberately (and regrettably) omitted, including, but not limited to:- Transfog the NS equations to non-Cartesian coordinate systems- Reynolds-averaging and turbulence modeling- Large/Detached Eddy Simulations- Grid generation Overview Section 1: Base Camp Lecture 1 Course Overview Lecture 2 A (Very) Brief History of CFD Section 2: The Taylor Series Expansion Lecture 3 Approximating Derivatives with the Taylor Series Lecture 4 Approximating Derivatives with the Taylor Series Section 3: Difference Equations Lecture 5 Difference Equations Lecture 6 Difference Equations Lecture 7 Explicit vs Implicit Methods Lecture 8 Roundoff Error and Von Neumann Stability Lecture 9 Roundoff Error and Von Neumann Stability Lecture 10 The Wave Equation Lecture 11 The Wave Equation Lecture 12 The Wave Equation Section 4: The Navier-Stokes Equations Lecture 13 Divergence Lecture 14 Divergence Lecture 15 Substantial Derivative Lecture 16 Conservation of Mass Lecture 17 Conservation of Momentum Lecture 18 Conservation of Momentum Lecture 19 Conservation of Energy Lecture 20 Conservation of Energy Lecture 21 The 'Fidelity Ladder' Lecture 22 The 'Fidelity Ladder' Section 5: Applications Lecture 23 Potential Flow Lecture 24 Potential Flow Lecture 25 Potential Flow Lecture 26 Streamfunction-Vorticity Formulation Lecture 27 Streamfunction-Vorticity Formulation Lecture 28 Streamfunction-Vorticity Formulation Lecture 29 The Compressible Euler Equations Lecture 30 The Compressible Euler Equations Undergraduate students,Eeers looking to diversify their skills HomePage: gfxtra__An_Introdu.part1.rar.html gfxtra__An_Introdu.part2.rar.html gfxtra__An_Introdu.part3.rar.html
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