An isogeometric discontinuous Galerkin method for Euler equations

An isogeometric discontinuous Galerkin method for Euler equations is proposed. It integrates the idea of isogeometric analysis with the discontinuous Galerkin framework by constructing each element through the knots insertion and degree elevation techniques in non‐uniform rational B‐splines. This leads to the solution inherently shares the same function space as the non‐uniform rational B‐splines representation, and results in that the curved...