Tensor calculus is an organized expression, which contains sophisticated geometric insights. Combines geometric and analytical perspectives. Enables use of the co-ordinate system without the loss of geometric insight. Provides a framework for establishing equations valid in all coordinate systems. Algorithmic. Provides a language that is concise and powerful. Based on a handful of operations. Summation…
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Singular Value Decomposition with Python Script
A short blog on discovering the Singular-Value Decomposition (SVD) method for matrix factorization. Singular-Value Decomposition The Singular-Value Decomposition, or SVD for short, is a matrix decomposition method for reducing a matrix to its constituent parts in order to make certain subsequent matrix calculations simpler. A = U . Sigma . V^T where, A is the…
Aerodynamics QnA
1. Stream-function vorticity formulation removes higher-order terms from Navier-Stokes equations ? 2.Stream-function vorticity formulation can be used for simulating a 3-dimensional flow. 3. If dye is injected into a liquid at a fixed point in the flow field, then at a later time t, the dye will indicate the end points of the path lines…
Aerodynamics
Aerodynamics is the fundamental enabling science that underpins the aerospace industry. Without the ability to generate lift from airflow passing over aircraft wings, helicopter rotor blades, and jet engine turbine blades, it would not have been possible to fly the sophisticated heavier-than-air vehicles and design future flight vehicles. Much of the development of current highly…