THE BOUNDARY ELEMENT METHOD IN ACOUSTICS
CONTENTS INTRODUCTION THE BOUNDARY ELEMENT METHOD IN ACOUSTICS OUTLINE OF THE BOUNDARY ELEMENT METHOD OPERATOR NOTATION NUMERICAL SOLUTION OF THE INTEGRAL EQUATION DOMAIN SOLUTION DIRECT AND INDIRECT BOUNDARY INTEGRAL EQUATIONS COLLOCATION ACOUSTICS AND THE HELMHOLTZ EQUATION THE WAVE EQUATION AND THE HELMHOLTZ EQUATION OTHER ACOUSTIC PROPERTIES (EXTERIOR PROBLEMS) ACOUSTIC DOMAINS AND CONDITIONS CONDITION AT IN?NITY FOR EXTERIOR PROBLEMS RESONANT FREQUENCIES AND MODE SHAPES UNITS OF MEASUREMENT ACOUSTIC MEDIA: AIR AND WATER COMPUTER PROGRAMMING FORTRAN EXTENDING THE WORK SUBORDINATE ROUTINES COMPUTATIONAL E?CIENCY BOUNDARY REPRESENTATION SUBDIVISION OF THE BOUNDARY INTO PANELS TWO DIMENSIONAL BOUNDARIES THREE DIMENSIONAL SURFACES AXISYMMETRIC SURFACES CONCLUSION THE DISCRETE HELMHOLTZ OPERATORS THE HELMHOLTZ INTEGRAL OPERATORS THE HELMHOLTZ OPERATORS GREEN’S FUNCTIONS PROPERTIES OF THE OPERATORS SOME PROPERTIES OF THE KERNEL FUNCTIONS DERIVATIVES OF G0 WITH RESPECT TO R DERIVATIVES OF GK (K ?= 0) WITH RESPECT TO R EXPRESSIONS FOR THE NORMAL DERIVATIVES OF GK EXPRESSIONS FOR THE NORMAL DERIVATIVE OF R ?UP?NQ ASYMPTOTIC PROPERTIES DISCRETISATION EVALUATION OF THE DISCRETE FORMS GENERAL INTRODUCTION TO THE SUBROUTINES GENERAL CONTROL OF THE SUBROUTINES GEOMETRICAL INFORMATION QUADRATURE RULE VALIDATION OF THE INPUT SUBROUTINES SUBROUTINE H2LC SUBROUTINE H3LC SUBROUTINE H3ALC SPECIAL NUMERICAL INTEGRATION METHODS TWO-DIMENSIONAL PROBLEMS THREE-DIMENSIONAL PROBLEMS AXISYMMETRIC THREE-DIMENSIONAL PROBLEMS ANALYSIS OF COMPUTATIONAL COST THE INTERIOR ACOUSTIC PROBLEM INTEGRAL EQUATION FORMULATION DIRECT FORMULATION INDIRECT FORMULATION FIELD MODI?CATION BOUNDARY ELEMENT METHOD DIRECT BOUNDARY ELEMENT METHOD INDIRECT BOUNDARY ELEMENT METHOD SUBROUTINES AIBEM2, AIBEM3 AND AIBEMA SOLUTION STRATEGY OF THE AIBEM* ROUTINES SUBROUTINE AIBEM2 SUBROUTINE AIBEM3 SUBROUTINE AIBEMA TEST PROGRAMS PROGRAM AIBEM2 T PROGRAM AIBEM3 T PROGRAM AIBEMA T APPLICATION: INTERIOR ACOUSTICS OF A 2D CAR THE EXTERIOR ACOUSTIC PROBLEM ELEMENTARY FORMULATIONS AND METHODS ELEMENTARY DIRECT FORMULATIONS ELEMENTARY INDIRECT FORMULATIONS ELEMENTARY METHODS THE SCHENCK METHOD IMPROVED FORMULATIONS IMPROVED INDIRECT FORMULATION IMPROVED DIRECT FORMULATION SCATTERING IMPROVED BOUNDARY ELEMENT METHODS IMPROVED INDIRECT METHOD IMPROVED DIRECT METHOD SUBROUTINES AEBEM2, AEBEM3 AND AEBEMA SOLUTION STRATEGY OF THE AEBEM* ROUTINES SUBROUTINE AEBEMA PROGRAM AEBEM2 T PROGRAM AEBEM3 T PROGRAM AEBEMA T APPLICATION: ENGINE NOISE ANALYSIS DETAILS RESULTS INTERIOR MODAL ANALYSIS FORMULATIONS OF THE EIGENVALUE PROBLEM APPLICATION OF COLLOCATION INDIRECT METHOD DIRECT METHOD SOLUTION OF THE NON-LINEAR EIGENVALUE PROBLEM SUBROUTINES MBEM2, MBEM3 AND MBEMA SOLUTION STRATEGY OF THE MBEM* ROUTINES SUBROUTINE MBEM2 SUBROUTINE MBEM3 SUBROUTINE MBEMA TEST PROBLEMS PROGRAM MBEM2 T PROGRAM MBEM3 T PROGRAM MBEMA T APPLICATION: LOUDSPEAKER ENCLOSURE BACKGROUND PARTICULAR IMPLEMENTATIONS OF COMPUTATIONAL METHOD AND MEA- SUREMENTS