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physics.flu-dyn2026

Libby-Fox perturbations and the semi-analytic adjoint solution for laminar viscous flow along a flat plate

Carlos Lozano, Jorge Ponsin

The paper derives a semi‑analytic adjoint solution for the two‑dimensional laminar boundary layer on a flat plate using Libby‑Fox perturbation theory and Green’s functions, and app…

physics.flu-dyn2026

A variational formulation of the adjoint Kutta condition in potential flow

Carlos Lozano, Jorge Ponsin

We give a variational formulation of the continuous adjoint Kutta condition for two-dimensional subcritical potential flow, with emphasis on the Kutta condition and the role of the…

physics.flu-dyn2026

Properties of Adjoint Solutions of the Full-potential Equations for Two-Dimensional Subcritical Flow

Carlos Lozano, Jorge Ponsin

The adjoint full-potential equations are studied for two-dimensional (2D) steady subcritical flows. In contrast with the incompressible case, explicit closed-form solutions are gen…

physics.flu-dyn2026

Enhanced Wall Boundary Modeling for Turbulent Flows Using the Lattice Boltzmann Method with Adaptive Cartesian Grids

Jorge Ponsin, Carlos Lozano

We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The…

physics.flu-dyn2025

Wall boundary conditions for Lattice Boltzmann simulations of turbulent flows with wall functions

Jorge Ponsin, Carlos Lozano

This paper investigates wall boundary condition schemes for the simulation of turbulent flows using the Lattice Boltzmann method (LBM) coupled to turbulence models with wall functi…

physics.flu-dyn2025

Analytic adjoint solution for incompressible potential flows

Carlos Lozano, Jorge Ponsin

We obtain the analytic adjoint solution for two-dimensional (2D) incompressible potential flow for a cost function measuring aerodynamic force using the connection of the adjoint a…