7 papers
Spectral Difference Method with a Posteriori Limiting: III- Navier-Stokes Equations with Arbitrary High-Order Accuracy
David A. Velasco-Romero, Romain Teyssier
We incorporate an arbitrarily high-order method for the Laplacian operator into the Spectral Difference method (SD). The resulting method is capable of capturing shocks thanks to i…
The LISA Astrophysics "Disc-IMRI" Code Comparison Project: Intermediate-Mass-Ratio Binaries in AGN-Like Discs
Andrea Derdzinski, Alexander J. Dittmann, Alessia Franchini +16
Upcoming space-based gravitational wave detectors such as LISA, the Laser Interferometer Space Antenna, will be sensitive to extreme- and intermediate-mass-ratio inspirals (EMRIs a…
Dust rings trap protoplanets on eccentric orbits and get consumed by them
David A. Velasco-Romero, Frédéric S. Masset, Alessandro Morbidelli +3
We study the orbital evolution and mass growth of protoplanets with masses ~M in the vicinity of a dusty ring, using three-dimensional numerical simulations…
Spectral Difference method with a posteriori limiting: II- Application to low Mach number flows
D. A. Velasco-Romero, R. Teyssier
Stellar convection poses two main gargantuan challenges for astrophysical fluid solvers: low-Mach number flows and minuscule perturbations over steeply stratified hydrostatic equil…
Comparison between a priori and a posteriori slope limiters for high-order finite volume schemes
Jonathan Palafoutas, David A. Velasco Romero, Romain Teyssier
High-order finite volume and finite element methods offer impressive accuracy and cost efficiency when solving hyperbolic conservation laws with smooth solutions. However, if the s…
An arbitrary high-order Spectral Difference method for the induction equation
Maria Han Veiga, David A Velasco-Romero, Quentin Wenger +1
We study in this paper three variants of the high-order Discontinuous Galerkin (DG) method with Runge-Kutta (RK) time integration for the induction equation, analysing their abilit…