Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Professor of Computational Fluid Mechanics



+44 (0)20 7594 5052s.sherwin Website




313BCity and Guilds BuildingSouth Kensington Campus






BibTex format

@article{Ekelschot and Moxey:2016:10.1016/j.compstruc.2016.03.004,
author = {Ekelschot and Moxey, D and Sherwin and Peiro, J},
doi = {10.1016/j.compstruc.2016.03.004},
journal = {Computers and Structures},
pages = {55--69},
title = {A p-adaptation method for compressible flow problems using a goal-based error indicator},
url = {},
volume = {181},
year = {2016}

RIS format (EndNote, RefMan)

AB - An accurate calculation of aerodynamic force coefficients for a given geometry isof fundamental importance for aircraft design. High-order spectral/hp elementmethods, which use a discontinuous Galerkin discretisation of the compressibleNavier-Stokes equations, are now increasingly being used to improve the accuracyof flow simulations and thus the force coefficients. To reduce error in thecalculated force coefficients whilst keeping computational cost minimal, we proposea p-adaptation method where the degree of the approximating polynomialis locally increased in the regions of the flow where low resolution is identifiedusing a goal-based error estimator as follows.Given an objective functional such as the aerodynamic force coefficients, weuse control theory to derive an adjoint problem which provides the sensitivityof the functional with respect to changes in the flow variables, and assumethat these changes are represented by the local truncation error. In its finalform, the goal-based error indicator represents the effect of truncation error onthe objective functional, suitably weighted by the adjoint solution. Both flowgoverning and adjoint equations are solved by the same high-order method,where we allow the degree of the polynomial within an element to vary acrossthe mesh.We initially calculate a steady-state solution to the governing equations using a low polynomial order and use the goal-based error indicator to identify partsof the computational domain that require improved solution accuracy whichis achieved by increasing the approximation order. We demonstrate the costeffectivenessof our method across a range of polynomial orders by considering anumber of examples in two- and three-dimensions and in subsonic and transonicflow regimes. Reductions in both the number of degrees of freedom required toresolve the force coefficients to a given error, as well as the computational cost,are both observed in using the p-adaptive technique
AU - Ekelschot
AU - Moxey,D
AU - Sherwin
AU - Peiro,J
DO - 10.1016/j.compstruc.2016.03.004
EP - 69
PY - 2016///
SN - 1879-2243
SP - 55
TI - A p-adaptation method for compressible flow problems using a goal-based error indicator
T2 - Computers and Structures
UR -
UR -
VL - 181
ER -