Evaluating Chebyshev series and its derivatives with the Clenshaw algorithm
A three-dimensional Chebyshev series, its gradient and Hessian are evaluated with the Clenshaw algorithm.
Posts
Generating random waves from a sea spectrum
A long-crested irregular sea is generated from the ISSC spectral formulation.
Approximating functions with Chebyshev polynomials
An improper integral with three parameters is approximated to 14 digits of decimal precision with Chebyshev polynomials.
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.
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.