An adjoint view on flux consistency and strong wall boundary conditions to the Navier-Stokes equations

DOI10.1016/j.jcp.2015.08.022zbMath1349.76390OpenAlexW1619837024MaRDI QIDQ2374764

Arthur Stück

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.08.022

zbMATH Keywords

adjoint Navier-Stokesdual consistencystrong boundary treatment

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Navier-Stokes equations (35Q30) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

Analysis of finite-volume discrete adjoint fields for two-dimensional compressible Euler flows ⋮ A note on the dual consistency of the discrete adjoint quasi-one-dimensional Euler equations with cell-centered and cell-vertex central discretizations ⋮ Dual-consistency study for Green-Gauss gradient schemes in an unstructured Navier-Stokes method

Uses Software

• TAU
• TAF
• Spalart-Allmaras

Cites Work

• Adjoint complement to viscous finite-volume pressure-correction methods
• Dual consistency and functional accuracy: a finite-difference perspective
• Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
• Adjoint-based error estimation and adaptive mesh refinement for the RANS and \(k-\omega\) turbulence model equations
• An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids
• Adjoint wall functions: a new concept for use in aerodynamic shape optimization
• Aerodynamic design via control theory
• Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms
• Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
• Efficient and robust algorithms for solution of the adjoint compressible Navier-Stokes equations with applications
• Artificial dissipation models for the Euler equations
• Recipes for adjoint code construction
• Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
• On the properties of discrete adjoints of numerical methods for the advection equation
• An adjoint‐based design methodology for CFD problems

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