TY - JOUR
T1 - Numerical boundary conditions for specular reflection in a level-sets-based wavefront propagation method
AU - Martinelli, Sheri L.
PY - 2013/8
Y1 - 2013/8
N2 - We study the simulation of specular reflection in a level set method implementation for wavefront propagation in high frequency acoustics usingWENO spatial operators. To implementWENO efficiently andmaintain convergence rate, a rectangular grid is used over the physical space. When the physical domain does not conformto the rectangular grid, appropriate boundary conditions to represent reflection must be derived to apply at grid locations that are not coincident with the reflecting boundary. A related problem is the extraction of the normal vectors to the boundary, which are required to formulate the reflection condition. A separate level set method is applied to pre-compute the boundary normals which are then stored for use in the wavefront method. Two approaches to handling the reflection boundary condition are proposed and studied: one uses an approximation to the boundary location, and the other uses a local reflection principle. The second method is shown to produce superior results.
AB - We study the simulation of specular reflection in a level set method implementation for wavefront propagation in high frequency acoustics usingWENO spatial operators. To implementWENO efficiently andmaintain convergence rate, a rectangular grid is used over the physical space. When the physical domain does not conformto the rectangular grid, appropriate boundary conditions to represent reflection must be derived to apply at grid locations that are not coincident with the reflecting boundary. A related problem is the extraction of the normal vectors to the boundary, which are required to formulate the reflection condition. A separate level set method is applied to pre-compute the boundary normals which are then stored for use in the wavefront method. Two approaches to handling the reflection boundary condition are proposed and studied: one uses an approximation to the boundary location, and the other uses a local reflection principle. The second method is shown to produce superior results.
UR - http://www.scopus.com/inward/record.url?scp=84872191944&partnerID=8YFLogxK
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U2 - 10.4208/cicp.130312.301012a
DO - 10.4208/cicp.130312.301012a
M3 - Article
AN - SCOPUS:84872191944
SN - 1815-2406
VL - 14
SP - 509
EP - 536
JO - Communications in Computational Physics
JF - Communications in Computational Physics
IS - 2
ER -