Efficient adaptive methods based on adjoint equations and truncation error estimation for unstructured grids

Roca, Jorge Ponsin

doi:10.20868/upm.thesis.23179

Cited by 1 publication

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“…where it must obey an internal differential equation 1 Transonic rotational flows contain an additional singularity in the form of a slip line emanating from the sharp trailing edge. However, this is a contact discontinuity (no mass flow), so it does not contribute to (48) [ ] 0…”

Section: D Euler Equationsmentioning

confidence: 99%

“…Notice that all output-adapted cases converge at less than first-order after the third adaptation cycle. This reduced rate is likely due to the semifrozen adaptation approach adopted here, whereby the mesh density along the wall-normal direction remains frozen, which has been observed to interfere with the adjoint-based adaptation procedure [48].…”

Section: Numerical Testsmentioning

confidence: 99%

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Entropy and Adjoint Methods

Lozano

2019

J Sci Comput

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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 that corresponds to this representation of the drag and investigate its relation to the entropy variables, which are linked to the integrated residual of the entropy transport equation. For inviscid isentropic flows, the resulting adjoint variables are identical to the entropy variables, an observation originally due to Fidkowski and Roe, while for nonisentropic flows there is a significant difference that is explicitly demonstrated with analytic solutions in the shocked quasi-1D case. Both approaches are also investigated for viscous and inviscid flows in two and three dimensions, where the adjoint equations and boundary conditions are derived. The application of both approaches to mesh adaptation is investigated, with especial emphasis on inviscid flows with shocks.

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Section: D Euler Equationsmentioning

confidence: 99%

Section: Numerical Testsmentioning

confidence: 99%