Fluid Dynamics Modeling : The Numerical Solution Of 2D Navier Hyperbolic Equations

TL;DR

This paper explores the numerical solution of 2D Navier-Stokes equations interpreted through hyperbolic wave propagation, including linear and nonlinear waves, with a MATLAB implementation for simulation.

Contribution

It introduces a novel approach to solving Navier-Stokes equations via hyperbolic wave interpretation and provides a MATLAB tool for simulation.

Findings

Successful numerical solutions for linear waves

Extension to nonlinear wave problems

Implementation of MATLAB simulation tool

Abstract

In the following paper we will consider Navier-Stokes problem and it's interpretation by hyperbolic waves, focusing on wave propagation. We will begin with solution for linear waves, then present problem for non-linear waves. Later we will derive for numerical solution using PDE's. Also we will design a Matlab program to solve and simulate wave propagation.