Highly-accurate artificial boundary conditions for the two-dimensional wave equation

被引：0

作者：

Sofronov, IL ^{[1
]}

机构：

[1] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia

来源：

COMPUTATIONAL FLUID DYNAMICS '98, VOL 1, PARTS 1 AND 2 | 1998年

关键词：

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

For two-dimensional external wave problems, we generate exact far-field condition on a circular artificial boundary. The operator of the condition is non-local in both space and time. In order to reduce computational resources needed for its discrete counterpart, we propose a way to localise the computational formulae with respect to time.

引用

页码：654 / 659

页数：6

共 50 条

[31] Split Local Artificial Boundary Conditions for the Two-Dimensional Sine-Gordon Equation on R2
Han, Houde
Zhang, Zhiwen
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2011, 10 (05) : 1161 - 1183
[32] Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains
Ghaffari, Rezvan
Hosseini, S. Mohammad
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (1-2) : 13 - 26
[33] Artificial boundary conditions for two-dimensional incompressible viscous flows around an obstacle
Bao, WZ
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 147 (3-4) : 263 - 273
[34] THE WAVE EQUATION APPROACH TO THE TWO-DIMENSIONAL INVERSE PROBLEM FOR A GENERAL BOUNDED DOMAIN WITH PIECEWISE SMOOTH MIXED BOUNDARY CONDITIONS
E.M.E.Zayed
ActaMathematicaScientia, 2001, (02) : 171 - 181
[35] The wave equation approach to the two-dimensional inverse problem for a general bounded domain with piecewise smooth mixed boundary conditions
Zayed, EME
Abdel-Halim, IH
ACTA MATHEMATICA SCIENTIA, 2001, 21 (02) : 171 - 181
[36] The one dimensional wave equation with Wentzell boundary conditions
Favini, A
Goldstein, GR
Goldstein, JA
Romanelli, S
DIFFERENTIAL EQUATIONS AND CONTROL THEORY, 2002, 225 : 139 - 145
[37] Model quakes in the two-dimensional wave equation
Shaw, BE
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1997, 102 (B12) : 27367 - 27377
[38] A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary
Liu, Jiankang
Zhang, Suying
COMPLEXITY, 2020, 2020
[39] Boundary layer collapses described by the two-dimensional intermediate long-wave equation
Oloo, J. O.
Shrira, V. I.
THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 203 (01) : 512 - 523
[40] Boundary layer collapses described by the two-dimensional intermediate long-wave equation
J. O. Oloo
V. I. Shrira
Theoretical and Mathematical Physics, 2020, 203 : 512 - 523

← 1 2 3 4 5 →