Mat Hunt

4 Questions 9 Answers 0 Followers

Questions related from Mat Hunt

How do you do fluid mechanics using Lagrangian co-ordinates?

In most of the lagrangian co-ordinates formulations of fluid dynamics in 1D, a function h is used as a co-ordinate defined as: h_x=rho Integrating this up shows that h is the mass contained in...

19 July 2023 8,343 6 View

Do PDEs and Newton-Raphson method fit well together?

I have some nonlinear PDEs that I wish to solve numerically. My initial stab at the solution seems to be very naive. I discretised the PDE using finite differences, and this leaves me with a set...

07 July 2023 9,753 6 View

Why doesn't finite differences work for 1D spherical diffusion equation?

I've been trying unsuccessfully to solve the 1D diffusion equation in spherical co-ordinates using finite differences. For the life of me, I cannot get the thing to work. Is this a known...

16 March 2022 9,619 9 View

Higher order methods for the diffusion equation?

I currently am using the Crank-Nicholsen method to solve the diffusion equation. I'm using the usual first order in time and second order in space but I have an application which I suspect...

11 March 2022 2,628 12 View