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Fluid Mechanics

PhD-Track Learning Roadmap: Fluid Mechanics & Numerical Simulation

8 weeks

0 Learners

eulerfold

May 20

“An 8-week intensive roadmap for a Masters graduate to master the theoretical and computational foundations of fluid mechanics, preparing for PhD-level research. The curriculum progresses from advanced continuum mechanics to implementing and analyzing complex CFD simulations.”

Understand Fluid Mechanics from basics and its numerical simulations and different techniques

Module 1: Advanced Mathematical & Physical Foundations

By the end of this module you will be able to derive and analyze the governing equations of fluid motion using tensor calculus and scaling analysis.

3 videos•46m

2 readings

3 topics

1 task

Learn

Topics

1.1

Continuum Mechanics & Tensor Calculus

10 minutes

1.2

Governing Equations from First Principles

22 minutes

1.3

Dimensional Analysis and Similitude

14 minutes

Study Resources

→Fluid Mechanics, by Frank M. White →An Introduction to Fluid Dynamics, by G.K. Batchelor

Module 2: Discretization & Numerical Solvers for PDEs

By the end of this module you will be able to implement a finite difference solver for a model PDE and analyze its stability and accuracy.

3 videos•125m

2 readings

3 topics

1 task

Learn

Module 3: Incompressible Flow Simulation

By the end of this module you will be able to implement a basic incompressible Navier-Stokes solver using a pressure-projection method.

3 videos•99m

2 readings

3 topics

1 task

Learn

Module 4: Compressible Flow & Shock Capturing

By the end of this module you will be able to implement a numerical scheme capable of capturing shock waves in 1D compressible flows.

3 videos•69m

2 readings

3 topics

1 task

Learn

Module 5: Mesh Generation & Open-Source CFD

By the end of this module you will be able to generate a high-quality mesh for a complex geometry and set up a basic simulation case using OpenFOAM.

3 videos•62m

3 readings

3 topics

1 task

Learn

Module 6: Turbulence Modeling

By the end of this module you will be able to select, implement, and critically evaluate an appropriate RANS model for a turbulent flow problem.

3 videos•103m

3 readings

3 topics

1 task

Learn

Module 7: High-Performance Computing (HPC) for CFD

By the end of this module you will be able to decompose a CFD problem for parallel execution and analyze its scaling performance.

3 videos•95m

2 readings

3 topics

1 task

Learn

Module 8: Research Proposal & Literature Review

By the end of this module you will be able to formulate a viable PhD-level research question and outline a numerical methodology to address it.

3 videos•48m

3 readings

3 topics

1 task

Learn

Watch curated videos and read study resources

Practice

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References

01Fluid Mechanics, by Frank M. White

02An Introduction to Fluid Dynamics, by G.K. Batchelor

03Computational Fluid Dynamics: The Basics with Applications, by John D. Anderson

04Numerical Heat Transfer and Fluid Flow, by Suhas Patankar

05Computational Fluid Dynamics, by Ferziger, Perić, and Street

06Ghia, U., Ghia, K. N., & Shin, C. T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method.

07Riemann Solvers and Numerical Methods for Fluid Dynamics, by Eleuterio F. Toro

08Modern Compressible Flow: With Historical Perspective, by John D. Anderson

09OpenFOAM User Guide

10Gmsh Documentation

11CFD Direct - OpenFOAM Training Resources

12Turbulence Modeling for CFD, by David C. Wilcox

13A First Course in Turbulence, by Tennekes and Lumley

14NASA Turbulence Modeling Resource

15OpenFOAM Guide - Running in Parallel

16Introduction to High-Performance Scientific Computing, by Victor Eijkhout

17Annual Review of Fluid Mechanics

18Journal of Computational Physics

19How to Write a Good Scientific Paper, by Chris A. Mack

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