To　get　high-accuracy　and　low　dissipative　numerical　method　in　aeroacoustics,　Galerkin　Boltzmann　method　and　corresponding　nonreflecting　boundary　condition　(NRBC)　were　developed.　A　modified　particle　distribution　function　was　introduced　to　lattice　Boltzmann　BGK　equation　in　order　to　reconstruct　the　Euler　equation.　After　decoupling　the　collision　step　from　the　streaming　step,　we　implemented　the　high-accuracy　nodal　discontinuous　Galerkin　spatial　discretization　and　fourth-order,　five-stage　Runge-Kutta　time　marching　scheme　to　solve　the　resulting　advection　equation.　Velocity　boundary　condition,　acoustically　hard　wall　boundary　condition　and　NRBC　were　constructed　through　numerical　flux.　A　benchmark　problem　including　acoustic　reflection　and　Doppler　effects　was　used　to　test　the　functionality　and　accuracy　of　this　method　and　NRBC.　Computational　results　are　in　good　agreement　with　the　analytical　solution,　implying　that　it　is　a　promising　method　for　computational　aeroacoustics.　©　2016,　Xi＇an　Jiaotong　University.　All　right　reserved.