Generating random waves from a sea spectrum

A long-crested irregular sea is generated from the ISSC spectral formulation.

January 23, 2026 · Rodrigo Castro

Approximating functions with Chebyshev polynomials

An improper integral with three parameters is approximated to 14 digits of decimal precision with Chebyshev polynomials.

December 28, 2025 · Rodrigo Castro

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.

October 29, 2025 · Rodrigo Castro

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.

October 13, 2025 · Rodrigo Castro

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.

September 28, 2025 · Rodrigo Castro

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.

August 23, 2025 · Rodrigo Castro

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.

August 11, 2025 · Rodrigo Castro

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.

August 8, 2025 · Rodrigo Castro

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.

August 2, 2025 · Rodrigo Castro

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.

July 22, 2025 · Rodrigo Castro