4 papers
A complex-scaled boundary integral equation for time-harmonic water waves
Anne-Sophie Bonnet-Ben Dhia, Luiz M. Faria, Carlos Pérez-Arancibia
This paper presents a novel boundary integral equation (BIE) formulation for the two-dimensional time-harmonic water-waves problem. It utilizes a complex-scaled Laplace's free-spac…
Equation level matching: An extension of the method of matched asymptotic expansion for problems of wave propagation
Luiz M. Faria, Rodolfo R. Rosales
We introduce an alternative to the method of matched asymptotic expansions. In the "traditional" implementation, approximate solutions, valid in different (but overlapping) regions…
A model for Faraday pilot waves over variable topography
Luiz M. Faria
Couder and Fort discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets sync…
Qualitative modeling of the dynamics of detonations with losses
Luiz M. Faria, Aslan R. Kasimov
We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qual…