Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables

Continuous Adjoint Method for Unstructured Grids

Adjoint-based shape optimization methods have proven to be computationally efficient for aerodynamic problems. Themajority of the studies on adjoint methods have used structured grids to discretize the computational domain. Because of the potential advantages of unstructured grids for complex configurations, in this study we have developed and validated a continuous adjoint formulation for unst...

AIAA 2003–3955 A continuous adjoint method for unstructured grids

Adjoint based shape optimization methods have proven to be computationally efficient for aerodynamic problems. The majority of the studies on adjoint methods have used structured grids to discretize the computational domain. Due to the potential advantages of unstructured grids for complex configurations, in this study we have developed and validated a continuous adjoint formulation for unstruc...

Aerodynamic Design Optimisation for Complex Geometries Using Unstructured Grids

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

Numerical Computation of Discrete Differential Operators on Non-Uniform Grids

In this paper, we explore the numerical approximation of discrete differential operators on nonuniform grids. The Voronoi cell and the notion of natural neighbors are used to approximate the Laplacian and the gradient operator on irregular grids. The underlying weight measure used in the numerical computations is the Laplace weight function, which has been previously adopted in meshless Galerki...