A MUSCL method satisfying all the numerical entropy inequalities
A MUSCL method satisfying all the numerical entropy inequalities
We consider here second-order finite volume methods for one-dimensional scalar conservation laws. We give a method to determine a slope reconstruction satisfying all the exact numerical entropy inequalities. It avoids inhomogeneous slope limitations and, at least, gives a convergence rate of $\Delta x^{1/2}$. It is obtained by a theory of …