一维准晶波动方程系数矩阵对称化及其SBP-SAT模拟OA

The study of wave propagation in quasicrystals is of significant value for gaining a deeper under-standing of the unique physical properties of quasicrystals,however,numerical simulations of such wave be-haviors pose considerable challenges.Through symmetrization of the wave equation coefficient matrix,it is pos-sible to effectively integrate different types of wave equations and reduce the complexity of wave propagation simulations.The symmetrized form of the coefficient matrix for the 1D quasicrystal wave equation was derived and the wave equation was discretized with the upwind scheme SBP-SAT finite difference method,and the sta-bility was then assessed with the energy method.Numerical simulations demonstrate that the proposed discreti-zation framework exhibits high integration,good stability,and strong scalability.Furthermore,the method can stably simulate wave propagation in curved domains while reducing the implementation cost,indicating the broad application potential of the symmetrization technique and its discretization framework in wave propaga-tion simulations.