Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967202 | Journal of Computational Physics | 2017 | 31 Pages |
Abstract
This paper presents a discrete adjoint version of the recently developed non-intrusive least squares shadowing (NILSS) algorithm, which circumvents the instability that conventional adjoint methods encounter for chaotic systems. The NILSS approach involves solving a smaller minimization problem than other shadowing approaches and can be implemented with only minor modifications to preexisting tangent and adjoint solvers. Adjoint NILSS is demonstrated on a small chaotic ODE, a one-dimensional scalar PDE, and a direct numerical simulation (DNS) of the minimal flow unit, a turbulent channel flow on a small spatial domain. This is the first application of an adjoint shadowing-based algorithm to a three-dimensional turbulent flow.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Patrick J. Blonigan,