4 papers · 1 filter
A generalized Riemann problem-based compact reconstruction method for finite volume schemes
Gino I. Montecinos, Eleuterio F. Toro, Lucas O. Müller
We present a Generalized Riemann Problem-based reconstruction method (GRPrec) for high-order finite volume schemes applied to hyperbolic partial differential equations. The method…
A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives
Gino I. Montecinos
In this paper, a centred universal high-order finite volume method for solving hyperbolic balance laws is presented. The scheme belongs to the family of ADER methods where the Gene…
An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws
Gino I. Montecinos
The scaling of the exact solution of a hyperbolic balance law generates a family of scaled problems in which the source term does not depend on the current solution. These problems…
A simplified Cauchy-Kowalewskaya procedure for the implicit solution of generalized Riemann problems of hyperbolic balance laws
Gino I. Montecinos, Dinshaw S. Balsara
The Cauchy-Kowalewskaya (CK) procedure is a key building block in the design of solvers for the Generalised Rieman Problem (GRP) based on Taylor series expansions in time. The CK p…