This issue documents work to implement a simple first order finite volume scheme, against analytic solutions. This is an academic exercise to further my understanding of the implementation of finite volume schemes.
The issue will follow work in E. Toro, validating the scheme against simple analytic problems - either Burger's equation or the Sod problems, for which the analytic solution has been generated in #1.
This issue documents work to implement a simple first order finite volume scheme, against analytic solutions. This is an academic exercise to further my understanding of the implementation of finite volume schemes.
The issue will follow work in E. Toro, validating the scheme against simple analytic problems - either Burger's equation or the Sod problems, for which the analytic solution has been generated in #1.