Mandelbrot Set, Dynamical Systems, Mathematics, Physics, Arts by Rendering, Cryptography and Spirituality – Preface

Just before finishing enjoyable to write, lovely all encompassing post, some interest to ignite curiosity... Mandelbrot Set, Dynamical Systems, Mathematics, Physics, Arts by Rendering, Cryptography and Spirituality https://youtu.be/0jGaio87u3A A groundbreaking record in the numbet of itterations in a Mandelbrot Set https://youtu.be/FFftmWSzgmk Mandelbrot Set Explained https://youtu.be/apP1Q7v6M7Y The Buddhabrot Technique Explaned (by Melinda Green) The Dynamicsl Approach …

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Vorticity and Coherent Structures – Part I

“Big whorls have little whorls that feed on their velocity, and little whorls have lesser whorls and so on to viscosity” – Lewis Fry Richardson Introduction Although this post shall take great advantage of the notion of vorticity to get a glimpse on the small scale organized fluid elements of significant life-time and scale we call …

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From Reynolds Transport Theorem to Navier-Cauchy to Navier-Stokes Voyage: Part II

In part I of this blog, we have discussed the evolvement of the Conservation of Linear Momentum Equation from Newton's Second Law of Motion using the Reynolds Transport Theorem. During the process we covered what is the need for Reynolds Transport Theorem, The Forcing & Stress Tensor Concept in Fluid: Fluid Kinematics Perspective, derived Cauchy …

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From Reynolds Transport Theorem to Navier-Cauchy to Navier-Stokes Voyage: Part I

There are certain fundamental principles of conservation that govern the implementation of CFD. These principles are Conservation of mass, momentum & energy. We will see how we can represent these principles evolve in a mathematical form that expresses the dynamics of fluid flow by preserving mass, momentum and energy conservation. The Need of Reynolds Transport …

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