Modeling high-Mach-number rarefied crossflows past a flat plate using the maximum-entropy moment method
The 10 and 14-moment maximum-entropy methods are applied to the study of high-Mach-
number non-reacting crossflows past a flat plate at large degrees of rarefaction. The moment …
number non-reacting crossflows past a flat plate at large degrees of rarefaction. The moment …
Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure
S Boccelli, W Kaufmann, TE Magin… - Journal of Computational …, 2024 - Elsevier
Maximum-entropy moment methods allow for the modeling of gases from the continuum
regime to strongly rarefied conditions. The development of approximated solutions to the …
regime to strongly rarefied conditions. The development of approximated solutions to the …
Optimal control approach for moving bottom detection in one‐dimensional shallow waters by surface measurements
R Lecaros, J López‐Ríos… - … Methods in the …, 2023 - Wiley Online Library
We consider the Boussinesq‐Peregrine (BP) system as described by Lannes Lannes,
D.(2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188) …
D.(2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188) …
Computational Algorithms for Shallow Water Equations
EF Toro - 2024 - Springer
This book deals with computational methods for solving systems of shallow water equations
within the broader field of geophysical fluid dynamics. Such systems, comprised of …
within the broader field of geophysical fluid dynamics. Such systems, comprised of …
Numerical approach of a coupled pressure-saturation model describing oil-water flow in porous media
P Luna, A Hidalgo - Communications on Applied Mathematics and …, 2023 - Springer
Two-phase flow in porous media is a very active field of research, due to its important
applications in groundwater pollution, CO 2 sequestration, or oil and gas production from …
applications in groundwater pollution, CO 2 sequestration, or oil and gas production from …
A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives
GI Montecinos - Journal of Computational Physics, 2021 - Elsevier
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 …
balance laws is presented. The scheme belongs to the family of ADER methods where the …
ADER High-Order Methods
EF Toro - Computational Algorithms for Shallow Water Equations, 2024 - Springer
This chapter is concerned with advanced, numerical methods for evolutionary partial
differential equations, following the ADER framework. The methodology is an unlimited …
differential equations, following the ADER framework. The methodology is an unlimited …
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
We consider the Boussinesq-Peregrine (BP) system as described by Lannes [Lannes,
D.(2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188) …
D.(2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188) …
Sources and Multidimensions
EF Toro - Computational Algorithms for Shallow Water Equations, 2024 - Springer
This chapter addresses two major issues when solving advection-reaction partial differential
equations (PDEs) in general domains, namely the presence of source terms in the PDEs …
equations (PDEs) in general domains, namely the presence of source terms in the PDEs …
An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws
GI Montecinos - Applied Numerical Mathematics, 2021 - Elsevier
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 …
problems in which the source term does not depend on the current solution. These problems …