Finding natural frequencies and modes of a vibrating beam with the Rayleigh-Ritz method
The Rayleigh-Ritz method is used to find the natural frequencies and modes of a propped cantilever beam.
Posts
Algorithms for the 3D infinite-depth free-surface Green function
Series expansions for the three-dimensional infinite-depth free-surface Green function and its derivatives.
Introducing Finite Element Method concepts with Julia
The Julia programming Language is used to introduce basic concepts in Finite Element Methods by solving a two-dimensional truss problem.
Removing irregular frequencies of the linear wave-body problem
Irregular frequencies of the linear wave-body problem are removed using the extended boundary condition method.
Solving the floating body radiation and diffraction problems with the BEM and the free-surface Green function
Solution of the two-dimensional floating body radiation and diffraction problems with the Boundary Element Method and the free-surface Green function.
The two-dimensional infinite-depth free-surface Green function
Expressions for the infinite-depth Green function for diffraction and radiation of regular waves by two-dimensional structures.
Using the Boundary Element Method to solve the two-dimensional floating body radiation problem
Radiation coefficients and the wave amplitude are computed for a cylinder heaving on the free surface of a liquid.
Natural frequencies and modes of sloshing in a rectangular tank
The natural frequencies and modes of sloshing in a rectangular tank are obtained through solution of a potential flow.
Evaluating analytical expressions representing a two-dimensional potential flow with free-surface
Hydrodynamic coefficients and the wave produced by a circular cylinder oscilating in heave are obtained by evaluation of analytical expressions. Experimental data is also presented for validation.
Solving the 2D potential flow using the Boundary Element Method
Computation of the 2D velocity potential around a circular cylinder using the Boundary Element Method.