17 citations · 56 across the 8 of their papers we have counts for
8 papers
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…
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…
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.
Watch Your Adjoints! Lack of Mesh Convergence in Inviscid Adjoint Solutions
Carlos Lozano
It has been long known that 2D and 3D inviscid adjoint solutions are generically singular at sharp trailing edges. In this paper, a concurrent effect is described by which wall bou…
Entropy and Adjoint Methods
Carlos Lozano
Aerodynamic drag can be partially approximated by the entropy flux across fluid domain boundaries with a formula due to Oswatitsch. In this paper, we build the adjoint solution tha…
Entropy production by implicit Runge-Kutta schemes
Carlos Lozano
This paper follows up on the author's recent paper "Entropy Production by Explicit Runge-Kutta schemes", where a formula for the production of entropy by fully discrete schemes wit…
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…
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…