In Sect. 6.3, we noted that if we are not careful when computing the metric terms for a mapped domain that spurious waves can be generated. With the geometry of the benchmark problem of Sect. 7.4.3,...

In Sect. 6.3, we noted that if we are not careful when computing the metric terms for a mapped domain that spurious waves can be generated. With the geometry of the benchmark problem of Sect. 7.4.3, and the initial condition p = const, u = v = 0, compute the nodal discontinuous Galerkin approximation to the wave equation when the boundaries are represented by polynomials of degree N + 5 for several low values of N, where N is the polynomial order of the approximation of the solution. Plot the pressure at various times and observe. Compare the results to what you get when the boundaries are approximated by polynomials of order N.