THE UNIVERSITY OF TEXAS
AT AUSTIN
DEPARTMENT OF CIVIL, ARCHITECTURAL, AND ENVIRONMENTAL ENGINEERING
OCEAN ENGINEERING
CE380P (Topic 4) - Boundary Element Methods
Offered in Fall 2022, Tuesday and Thursday 9:30 - 11:00
a.m. (ECJ 1.324)
Lecturer:S.A.
Kinnas
Boundary Element Methods (BEM), or Panel Methods, or Boundary Integral
Methods (BIM) are very powerful numerical methods which can solve complex
problems in a wide variety of engineering disciplines, e.g. fluid mechanics,
solid and fracture mechanics, acoustics, heat transfer,
electromagnetics, etc. The boundary
(rather than the volume) of a domain is discretized into panels on which
the related quantities (e.g. velocity potential, displacements and tractions,
acoustic pressure, temperature, electric potential, etc) are approximated with distributions
of known shape but of unknown strength. The unknown strengths are determined
by applying the specified boundary conditions, and by solving an integral
equation (e.g. Green's identity or Somigliana's identity) over the boundary.
This course first reviews the fundamentals of fluid mechanics and structural
mechanics, and then presents the formulation and numerical implementation
of the corresponding boundary element methods. The students taking this
class:
-
are exposed to the various fields where BEM apply from the common perspective
of BEM
-
learn (through homework) how to develop their own BEM
-
concentrate (through term projects) in a specific BEM application of their
desire (can be part of their research or thesis)
CLASSNOTES AND HOMEWORK ARE AVAILABLE ON CANVAS FOR THE CLASS!