activity
20232026
most citedImplicit-explicit schemes for incompressible flow problems with variable viscosity

14 citations · 18 across the 9 of their papers we have counts for

collaborators

10 papers

math.NA2026

Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity

Benjamin Cisternas, Douglas R. Q. Pacheco, Felipe Galarce +1

In the Navier--Stokes equations, incompressibility allows rewriting the viscous term in various forms leading to distinct numerical properties and flow descriptions. Furthermore, m…

physics.flu-dyn2026

A term-by-term variational multiscale method with dynamic subscales for incompressible turbulent aerodynamics

Diego Escobar, Douglas Pacheco, Alejando Aguirre +1

Variational multiscale (VMS) methods offer a robust framework for handling under-resolved flow scales without resorting to problem-specific turbulence models. Here, we propose and…

math.NA2025

Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation

Diego R. Rivera, Ernesto Castillo, Felipe Galarce +1

This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fiel…

cs.CE2025

Higher-Order Discontinuous Galerkin Splitting Schemes for Fluids with Variable Viscosity

Richard Schussnig, Niklas Fehn, Douglas Ramalho Queiroz Pacheco +1

This article investigates matrix-free higher-order discontinuous Galerkin discretizations of the Navier--Stokes equations for incompressible flows with variable viscosity. The visc…

math.NA2025

A fully segregated and unconditionally stable IMEX scheme for dispersed multiphase flows

Douglas Pacheco, Richard Schussnig

Euler--Euler or volume-averaged Navier--Stokes equations are used in various applications to model systems with two or more interpenetrating phases. Each fluid obeys its own moment…

math.NA2025

Consistent splitting SAV schemes for finite element approximations of incompressible flows

Douglas R. Q. Pacheco

Consistent splitting schemes are among the most accurate pressure segregation methods, incurring no splitting errors or spurious boundary conditions. Nevertheless, their theoretica…

math.NA2024★ 4 cited

A fast food-freezing temperature estimation framework using optimally located sensors

Felipe Galarce, Diego Rivera, Douglas Pacheco +2

This article presents and assesses a framework for estimating temperature fields in real time for food-freezing applications, significantly reducing computational load while ensuri…

math.NA2024

Fully consistent lowest-order finite element methods for generalised Stokes flows with variable viscosity

Felipe Galarce, Douglas R. Q. Pacheco

Variable viscosity arises in many flow scenarios, often imposing numerical challenges. Yet, discretisation methods designed specifically for non-constant viscosity are few, and the…

math.NA2024

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density

Nicolás Espinoza-Contreras, Gabriel Barrenechea, Ernesto Castillo +1

For the incompressible Navier--Stokes system with variable density and viscosity, we propose and analyse an IMEX framework treating the convective and diffusive terms semi-implicit…

math.NA2023★ 14 cited

Implicit-explicit schemes for incompressible flow problems with variable viscosity

Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco

In this work we study different Implicit-Explicit (IMEX) schemes for incompressible flow problems with variable viscosity. Unlike most previous work on IMEX schemes, which focuses…