5 papers
Arbitrary high order shaped stencils for time domain finite difference schemes in seismic wave propagation
Pedro S. Peixoto, Felipe A. G. Silva
Finite Difference Schemes are widely used in the approximation of different hyperbolic (wave-like) differential equations, and are particularly important for seismic wave modelling…
A new high-order finite-volume advection scheme on spherical Voronoi grids and a comparative study in a mimetic finite-volume moist shallow-water model
Luan F. Santos, Jeferson B. Granjeiro, Pedro S. Peixoto
Spherical centroidal Voronoi tessellations (SCVTs), currently used in numerical weather forecasting models such as the Model for Prediction Across Scales (MPAS), are a type of sphe…
On Godunov-type finite volume methods for seismic wave propagation
Juan Barrios, Pedro S. Peixoto, Felipe A. G. Silva
The computational complexity of simulating seismic waves demands continual exploration of more efficient numerical methods. While Finite Volume methods are widely acclaimed for tac…
Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere
João Guilherme Caldas Steinstraesser, Martin Schreiber, Pedro da Silva Peixoto
In this work, we study and extend a class of semi-Lagrangian exponential methods, which combine exponential time integration techniques, suitable for integrating stiff linear terms…
High-order exponential integration for seismic wave modeling
Fernando V. Ravelo, Martin Schreiber, Pedro S. Peixoto
Seismic imaging is a major challenge in geophysics with broad applications. It involves solving wave propagation equations with absorbing boundary conditions (ABC) multiple times.…