Burgers’ Equation

Module for defining the Burgers equation.

class BurgersEquation(nu)

Bases: Equation

Implementation of the N-dimensional Burgers’ equation, defined as follows:

\[\frac{\partial u}{\partial t} + u \cdot \nabla u = \nu \Delta u\]

Here, \(\nu\) is the viscosity coefficient.

Example:

>>> from pina.equation import BurgersEquation
>>> eq = BurgersEquation(nu=0.01)
>>> # Use within a Condition:
>>> # condition = Condition(domain=domain, equation=eq)

Initialization of the BurgersEquation class.

Parameters:

nu (float | int) – The viscosity coefficient.

Raises:

• ValueError – If nu is not a float or an int.

• ValueError – If nu is negative.