activity
20202025
most citedA Hybrid High-Order method for creeping flows of non-Newtonian fluids

18 citations · 28 across the 6 of their papers we have counts for

collaborators

8 papers

math.NA2025

A Hybrid High-Order method for the power-law Brinkman problem with robust error estimates in all regimes

Daniel Castañón Quiroz, Daniele A. Di Pietro, Jérôme Droniou +1

In this work we propose and analyze a new Hybrid High-Order method for the Brinkman problem for fluids with power-law viscosity. The proposed method supports general meshes and arb…

math.AP2025

Layer dynamics for the Allen-Cahn equation with nonlinear phase-dependent diffusion

José Alejandro Butanda Mejía, Daniel Castañon Quiroz, Raffaele Folino +1

The goal of this paper is to describe the metastable dynamics of the solutions to the reaction-diffusion equation with nonlinear phase-dependent diffusion $u_t=\varepsilon^2(D(u)u_…

math.NA2024

A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes

Daniel Castanon Quiroz, Daniele A. Di Pietro

In this work we develop and analyze a Reynolds-semi-robust and pressure-robust Hybrid High-Order (HHO) discretization of the incompressible Navier--Stokes equations. Reynolds-semi-…

math.NA2024

Multi-segmented non-isothermal compositional liquid gas well model for geothermal processes

Daniel Castanon Quiroz, Laurent Jeannin, Simon Lopez +1

We consider a non-isothermal compositional gas liquid model for the simulation of well operations in geothermal processes. The model accounts for phase transitions assumed to be at…

math.NA2022

A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes

Daniel Castanon Quiroz, Daniele A. Di Pietro

In a recent work [10], we have introduced a pressure-robust Hybrid High-Order method for the numerical solution of the incompressible Navier-Stokes equations on matching simplicial…

math.NA2021

Two-phase geothermal model with fracture network and multi-branch wells

Antoine Armandine Les Landes, Daniel Castanon Quiroz, Laurent Jeannin +2

This paper focuses on the numerical simulation of geothermal systems in complex geological settings. The physical model is based on two-phase Darcy flows coupling the mass conserva…

math.NA2021★ 10 cited

A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour

Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist

In this work, we design and analyze a Hybrid High-Order (HHO) discretization method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. We work u…

math.NA2020★ 18 cited

A Hybrid High-Order method for creeping flows of non-Newtonian fluids

Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro +1

In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small ve…