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- W2360588274 abstract "Numerical schemes that result in minimal dispersion and dissipation errors are generally preferred for direct simulation of noise propagation.Dispersion and dissipation properties of nodal discontinuous Galerkin(DG) method for the linearized Euler equation were investigated by utilizing an eigenvalue analysis technique.It was found that for any given mth order of basis functions,there are m+1 modes of numerical waves.But among them only one represents propagating mode of physical wave corresponding to the partial differential equation,the rest belongs to numerical parasite modes,and moreover the propagation directions of these two kinds of numerical modes are opposite.The comparisons of dispersion properties among the nodal discontinuous Galerkin method,DRP schemes and compact finite difference schemes with the same order show the solvable wavenumber range of nodal DG method lies between those of DRP schemes and compact finite difference schemes.A test problem of wave propagation with initial disturbance consisting of a Gaussian profile was solved.The quality of solution obtained by nodal DG method with less grid number is analogous to that by compact finite difference schemes,but better than that by DRP schemes,which indicates the method is appropriate to direct numerical simulation of aeroacoustics." @default.
- W2360588274 created "2016-06-24" @default.
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- W2360588274 date "2012-01-01" @default.
- W2360588274 modified "2023-09-25" @default.
- W2360588274 title "Higher-order nodal discontinuous galerkin method in computational aeroacoustics" @default.
- W2360588274 hasPublicationYear "2012" @default.
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