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Questions tagged [conservation-laws]

A scalar conservation law in 1-dimensional space is a 1st-order partial differential equation of the form: ut + f(u)x = 0 Here: u = u(t, x) is called the conserved quantity, where f is the flux. t is time, and x is the 1-dimensional space variable.

See, for example, Chapter 2 of http://www.amazon.com/Introduction-Mathematical-Theory-Student-Library/dp/0821820397

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Matlab, integration of conservation laws

I was wondering if there are established robust libraries or FEX-like packages to deal with scalar conservation laws (say 1D) in matlab. I am currently dealing with 1D non-linear, non-local, conservation laws and the diffusive error of first order…
Acorbe
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Ball bounce physics, system seems to gain energy (bounce higher)

I'm attempting to model the bouncing of balls in a pattern in python with pygame. Something is causing the physics to be incorrect - the balls GAIN energy, i.e. they bounce fractionally higher over time. (I have included a 'speed factor' which can…
Tom
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NetworkX: structuring a simple flow study on a graph

If you consider the following graph: from __future__ import division import networkx as nx import matplotlib.pyplot as plt import numpy as np from numpy.linalg import inv G =…
FaCoffee
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Lax-Wendroff order of accuracy on Burgers equation

Statement of the problem Is it possible to achieve the second order of convergence (OOC) of Lax-Wendroff scheme applied to solve inviscid Burgers equations with discontinuous initial data? If no, then how to achieve OOC of 2nd order in quasilinear…
Oleg Kravchenko
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FiPy Simple Convection

I am trying to understand how FiPy works by working an example, in particular I would like to solve the following simple convection equation with periodic boundary: $$\partial_t u + \partial_x u = 0$$ If initial data is given by $u(x, 0) = F(x)$,…
pdevar
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Need with a momentum and impulse physics question on image below 6.3

[grade 12 momentum -physics questions need assisance with 6.3][1] How to calculate the final velocity of a body given two graphs of two objects of net force versus time [1]: https://i.stack.imgur.com/u7UZq.jpg
Nkosi Ncube
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