Output-based space–time mesh optimization for unsteady flows using continuous-in-time adjoints

Fidkowski, Krzysztof J.

doi:10.1016/j.jcp.2017.04.005

Title: Output-based space–time mesh optimization for unsteady flows using continuous-in-time adjoints

Journal Article · Sat Jul 01 00:00:00 EDT 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2017.04.005· OSTI ID:1397800

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: 1200596; FG02-13ER26146/DE-SC0010341

OSTI ID:: 1397800

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 341 Journal Issue: C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

References (21)

Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations Hartmann, Ralf; Houston, Paul Journal of Computational Physics, Vol. 183, Issue 2 https://doi.org/10.1006/jcph.2002.7206	journal	December 2002
Discontinuous Galerkin solution of the Navier–Stokes equations on deformable domains Persson, P. -O.; Bonet, J.; Peraire, J. Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 17-20 https://doi.org/10.1016/j.cma.2009.01.012	journal	April 2009
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows Venditti, David A.; Darmofal, David L. Journal of Computational Physics, Vol. 187, Issue 1 https://doi.org/10.1016/S0021-9991(03)00074-3	journal	May 2003
Anisotropic hp-Adaptation Framework for Functional Prediction Ceze, Marco; Fidkowski, Krzysztof J. AIAA Journal, Vol. 51, Issue 2 https://doi.org/10.2514/1.J051845	journal	February 2013
A comparison of hybridized and standard DG methods for target-based hp-adaptive simulation of compressible flow Woopen, Michael; Balan, Aravind; May, Georg Computers & Fluids, Vol. 98 https://doi.org/10.1016/j.compfluid.2014.03.023	journal	July 2014
A Riemannian Framework for Tensor Computing Pennec, Xavier; Fillard, Pierre; Ayache, Nicholas International Journal of Computer Vision, Vol. 66, Issue 1 https://doi.org/10.1007/s11263-005-3222-z	journal	January 2006
A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier–Stokes equations Fidkowski, Krzysztof J.; Darmofal, David L. Journal of Computational Physics, Vol. 225, Issue 2 https://doi.org/10.1016/j.jcp.2007.02.007	journal	August 2007
Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows Belme, A.; Dervieux, A.; Alauzet, F. Journal of Computational Physics, Vol. 231, Issue 19 https://doi.org/10.1016/j.jcp.2012.05.003	journal	August 2012
Output error estimation strategies for discontinuous Galerkin discretizations of unsteady convection-dominated flows Fidkowski, Krzysztof J. International Journal for Numerical Methods in Engineering, Vol. 88, Issue 12 https://doi.org/10.1002/nme.3224	journal	May 2011
Approximate Riemann solvers, parameter vectors, and difference schemes Roe, P. L. Journal of Computational Physics, Vol. 43, Issue 2 https://doi.org/10.1016/0021-9991(81)90128-5	journal	October 1981
Adjoint Recovery of Superconvergent Functionals from PDE Approximations Pierce, Niles A.; Giles, Michael B. SIAM Review, Vol. 42, Issue 2 https://doi.org/10.1137/S0036144598349423	journal	January 2000
Error estimation and adaptation for functional outputs in time-dependent flow problems Mani, Karthik; Mavriplis, Dimitri J. Journal of Computational Physics, Vol. 229, Issue 2 https://doi.org/10.1016/j.jcp.2009.09.034	journal	January 2010
Additive Runge–Kutta schemes for convection–diffusion–reaction equations Kennedy, Christopher A.; Carpenter, Mark H. Applied Numerical Mathematics, Vol. 44, Issue 1-2 https://doi.org/10.1016/S0168-9274(02)00138-1	journal	January 2003
Output-based mesh adaptation for high order Navier–Stokes simulations on deformable domains Kast, Steven M.; Fidkowski, Krzysztof J. Journal of Computational Physics, Vol. 252 https://doi.org/10.1016/j.jcp.2013.06.007	journal	November 2013
Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics Fidkowski, Krzysztof J.; Darmofal, David L. AIAA Journal, Vol. 49, Issue 4 https://doi.org/10.2514/1.J050073	journal	April 2011
Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions Carey, V.; Estep, D.; Johansson, A. SIAM Journal on Scientific Computing, Vol. 32, Issue 4 https://doi.org/10.1137/090753826	journal	January 2010
Output-based space–time mesh adaptation for the compressible Navier–Stokes equations Fidkowski, Krzysztof J.; Luo, Yuxing Journal of Computational Physics, Vol. 230, Issue 14 https://doi.org/10.1016/j.jcp.2011.03.059	journal	June 2011
Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow: SPACE-TIME ADAPTIVITY FOR NONSTATIONARY INCOMPRESSIBLE FLOW Besier, Michael; Rannacher, Rolf International Journal for Numerical Methods in Fluids, Vol. 70, Issue 9 https://doi.org/10.1002/fld.2735	journal	January 2012
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations Schmich, Michael; Vexler, Boris SIAM Journal on Scientific Computing, Vol. 30, Issue 1 https://doi.org/10.1137/060670468	journal	January 2008
Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s Alexander, Roger SIAM Journal on Numerical Analysis, Vol. 14, Issue 6 https://doi.org/10.1137/0714068	journal	December 1977
“Natural norm” a posteriori error estimators for reduced basis approximations Sen, S.; Veroy, K.; Huynh, D. B. P. Journal of Computational Physics, Vol. 217, Issue 1 https://doi.org/10.1016/j.jcp.2006.02.012	journal	September 2006

Similar Records

Output-based space–time mesh optimization for unsteady flows using continuous-in-time adjoints

Journal Article · Sat Jul 01 00:00:00 EDT 2017 · Journal of Computational Physics · OSTI ID:1397800

Fidkowski, Krzysztof J.

Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes

Journal Article · Wed Jul 08 00:00:00 EDT 2020 · Aerospace Science and Technology · OSTI ID:1397800

Chen, Guodong; Fidkowski, Krzysztof J.

Output‐based mesh optimization for hybridized and embedded discontinuous Galerkin methods

Journal Article · Fri Nov 08 00:00:00 EST 2019 · International Journal for Numerical Methods in Engineering · OSTI ID:1397800

Fidkowski, Krzysztof J.; Chen, Guodong

Title: Output-based space–time mesh optimization for unsteady flows using continuous-in-time adjoints

Citation Formats

References (21)

Similar Records

Related Subjects