Solutions of the Irrotational Euler Equation
DOI:
https://doi.org/10.54097/jyzxb921Keywords:
Euler's Equation, Continuity Equation, Wave Equation.Abstract
The irrotational Euler's equation plays a significant role in fluid dynamics, and an in-depth study of its solutions helps to better understand the motion of fluids. This paper primarily addresses the analytical solutions of the irrotational Euler's equation in the absence of external forces. Analytical solutions for incompressible, steady-state fluids, as well as numerical solutions for cases where density is a function of time, are solved. Numerical solutions for the two-dimensional wave equation are solved and the images of the numerical solutions changing over time are plotted.
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