The paper addresses the construction of a non spuriousmixed spectral finiteelement(FE)method to problems in the field of computational aeroacoustics.Basedon a computational scheme for the conservation equations of lin...The paper addresses the construction of a non spuriousmixed spectral finiteelement(FE)method to problems in the field of computational aeroacoustics.Basedon a computational scheme for the conservation equations of linear acoustics,the extensiontowards convected wave propagation is investigated.In aeroacoustic applications,the mean flow effects can have a significant impact on the generated soundfield even for smaller Mach numbers.For those convective terms,the initial spectralFE discretization leads to non-physical,spurious solutions.Therefore,a regularizationprocedure is proposed and qualitatively investigated bymeans of discrete eigenvaluesanalysis of the discrete operator in space.A study of convergence and an applicationof the proposed scheme to simulate the flow induced sound generation in the processof human phonation underlines stability and validity.展开更多
After setting a mixed formulation for the propagation of linearized water waves problem,we define its spectral element approximation.Then,in order to take into account unbounded domains,we construct absorbing perfectl...After setting a mixed formulation for the propagation of linearized water waves problem,we define its spectral element approximation.Then,in order to take into account unbounded domains,we construct absorbing perfectly matched layer for the problem.We approximate these perfectly matched layer by mixed spectral elements and show their stability using the“frozen coefficient”technique.Finally,numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions.展开更多
文摘The paper addresses the construction of a non spuriousmixed spectral finiteelement(FE)method to problems in the field of computational aeroacoustics.Basedon a computational scheme for the conservation equations of linear acoustics,the extensiontowards convected wave propagation is investigated.In aeroacoustic applications,the mean flow effects can have a significant impact on the generated soundfield even for smaller Mach numbers.For those convective terms,the initial spectralFE discretization leads to non-physical,spurious solutions.Therefore,a regularizationprocedure is proposed and qualitatively investigated bymeans of discrete eigenvaluesanalysis of the discrete operator in space.A study of convergence and an applicationof the proposed scheme to simulate the flow induced sound generation in the processof human phonation underlines stability and validity.
文摘After setting a mixed formulation for the propagation of linearized water waves problem,we define its spectral element approximation.Then,in order to take into account unbounded domains,we construct absorbing perfectly matched layer for the problem.We approximate these perfectly matched layer by mixed spectral elements and show their stability using the“frozen coefficient”technique.Finally,numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions.
