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20222026
most citedAnalytic Adjoint Solutions for the 2D Incompressible Euler Equations Using the Green's Function Approach

7 citations · 25 across the 13 of their papers we have counts for

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13 papers

math.AP2026

Asymptotic expansions of the eigenvalues and norms for perturbations about the Falkner--Skan solution

Carlos Lozano, Jorge Ponsin

We derive large-mode asymptotic expansions for the eigenvalues and eigenfunction norms of the Chen-Libby perturbation problem about Falkner-Skan boundary-layer profiles. The analys…

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

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-dyn2026

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

Carlos Lozano, Jorge Ponsin

The properties of the solution to the adjoint two-dimensional boundary layer (BL) equations on a flat plate are investigated from the viewpoint of Libby-Fox theory, which describes…

physics.flu-dyn2025

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-dyn2025★ 3 cited

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★ 4 cited

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…

physics.flu-dyn2025

On the characteristic structure of the adjoint Euler equations and the analytic adjoint solution of supersonic inviscid flows

Carlos Lozano, Jorge Ponsin

The characteristic structure of the two-dimensional adjoint Euler equations is examined. The behavior is similar to that of the original Euler equations, but with the information t…

physics.flu-dyn2024★ 3 cited

Explaining the Lack of Mesh Convergence of Inviscid Adjoint Solutions Near Solid Walls for Subcritical Flows

Carlos Lozano, Jorge Ponsin

Numerical solutions to the adjoint Euler equations have been found to diverge with mesh refinement near walls for a variety of flow conditions and geometry configurations. The issu…

physics.flu-dyn2024★ 3 cited

Shock equations and jump conditions for the 2D Adjoint Euler equations

Carlos Lozano, Jorge Ponsin

This paper considers the formulation of the adjoint problem in two dimensions when there are shocks in the flow solution. For typical cost functions, the adjoint variables are cont…

physics.flu-dyn2023★ 5 cited

Exact inviscid drag adjoint solution for subcritical flows

Carlos Lozano, Jorge Ponsin

This paper describes an exact solution to the drag-based adjoint Euler equations in two and three dimensions that is valid for irrotational flows.

physics.flu-dyn2022

Singularity and Mesh Divergence of Inviscid Adjoint Solutions at Solid Walls

Carlos Lozano, Jorge Ponsin

The mesh divergence problem occurring at subsonic and transonic speeds with the adjoint Euler equations is reviewed. By examining a recently derived analytic adjoint solution, it i…

physics.flu-dyn2022★ 7 cited

Analytic Adjoint Solutions for the 2D Incompressible Euler Equations Using the Green's Function Approach

Carlos Lozano, Jorge Ponsin

The Green's function approach of Giles and Pierce is used to build the lift and drag based analytic adjoint solutions for the two-dimensional incompressible Euler equations around…