## How the three-dimensional geometry of computational domain(s) affects the accuracy of non-reflective boundary conditions in acoustic simulation. (arXiv:1710.03887v1 [math.NA])

Describing and simulating acoustic wave propagation can be difficult and time
consuming; especially when modeling three-dimensional (3D) problems. As the
propagating waves exit the computational domain, the amplitude needs to be
sufficiently small otherwise reflections can occur from the boundary
influencing the numerical solution. This paper will attempt to quantify what is
meant by `sufficiently small' and investigate whether the geometry of the
computational boundary can be manipulated to reduce reflections at the outer
walls. The 3D compressible Euler equations were solved using the discontinuous
Galerkin method on a graphical processing unit. A pressure pulse with an
amplitude equivalent to 10% of atmospheric pressure was simulated through a
modified trumpet within seven different geometries. The numerical results
indicate that if the amplitude of the pulse is less than 0.5% of atmospheric
pressure, reflections are minimal and do not significantly influence the
solution in the dom查看全文