@article{Maurischat2022, author = {Maurischat, Andreas}, title = {Algebraic independence of the Carlitz period and its hyperderivatives}, series = {Journal of Number Theory}, volume = {240}, journal = {Journal of Number Theory}, publisher = {Elsevier}, address = {Orlando, Fla.}, issn = {0022-314X}, doi = {10.1016/j.jnt.2022.01.006}, pages = {145 -- 162}, year = {2022}, language = {en} } @article{Maurischat2021, author = {Maurischat, Andreas}, title = {Algebraic independence of the Carlitz period and its hyperderivatives}, pages = {1 -- 12}, year = {2021}, language = {en} } @article{GoettenHavermannBraunetal.2020, author = {G{\"o}tten, Falk and Havermann, Marc and Braun, Carsten and Marino, Matthew and Bil, Cees}, title = {Airfoil drag at low-to-medium reynolds numbers: A novel estimation method}, series = {AIAA Journal}, volume = {58}, journal = {AIAA Journal}, number = {7}, publisher = {AIAA}, address = {Reston, Va.}, issn = {1533-385X}, doi = {10.2514/1.J058983}, pages = {2791 -- 2805}, year = {2020}, abstract = {This paper presents a novel method for airfoil drag estimation at Reynolds numbers between 4×10⁵ and 4×10⁶. The novel method is based on a systematic study of 40 airfoils applying over 600 numerical simulations and considering natural transition. The influence of the airfoil thickness-to-chord ratio, camber, and freestream Reynolds number on both friction and pressure drag is analyzed in detail. Natural transition significantly affects drag characteristics and leads to distinct drag minima for different Reynolds numbers and thickness-to-chord ratios. The results of the systematic study are used to develop empirical correlations that can accurately predict an airfoil drag at low-lift conditions. The new approach estimates a transition location based on airfoil thickness-to-chord ratio, camber, and Reynolds number. It uses the transition location in a mixed laminar-turbulent skin-friction calculation, and corrects the skin-friction coefficient for separation effects. Pressure drag is estimated separately based on correlations of thickness-to-chord ratio, camber, and Reynolds number. The novel method shows excellent accuracy when compared with wind-tunnel measurements of multiple airfoils. It is easily integrable into existing aircraft design environments and is highly beneficial in the conceptual design stage.}, language = {en} } @incollection{BallmannBouckeBraun2003, author = {Ballmann, Josef and Boucke, Alexander and Braun, Carsten}, title = {Aeroelastic sensitivity in the transonic regime}, series = {Symposium Transsonicum IV : proceedings of the IUTAM symposium held in G{\"o}ttingen, Germany, 2 - 6 September 2002 / ed. by Helmut Sobieczky. Fluid mechanics and its applications. Vol. 73}, booktitle = {Symposium Transsonicum IV : proceedings of the IUTAM symposium held in G{\"o}ttingen, Germany, 2 - 6 September 2002 / ed. by Helmut Sobieczky. Fluid mechanics and its applications. Vol. 73}, publisher = {Kluwer Academic}, address = {Dordrecht}, isbn = {978-94-010-3998-7}, pages = {225 -- 236}, year = {2003}, language = {en} } @article{GerhardtKramer1985, author = {Gerhardt, Hans Joachim and Kramer, C.}, title = {Aerodynamsiche RA-Optimierung}, series = {Zentralblatt fuer Industriebau. 31 (1985), H. 5}, journal = {Zentralblatt fuer Industriebau. 31 (1985), H. 5}, isbn = {0044-4227}, pages = {358 -- 362}, year = {1985}, language = {en} } @article{Mertens1998, author = {Mertens, Josef}, title = {Aerodynamische Ziele des Adaptiven Fl{\"u}gels (ADIF).}, series = {DGLR-Jahrbuch 1998 Bd. 1}, journal = {DGLR-Jahrbuch 1998 Bd. 1}, pages = {47 -- 52}, year = {1998}, language = {de} } @techreport{ReimerWellmerBraunetal.2007, author = {Reimer, Lars and Wellmer, Georg and Braun, Carsten and Ballmann, Josef}, title = {Aerodynamische Simulation und Optimierung in der Flugzeugentwicklung. Teilvorhabenbezeichnung: Aerodynamische Optimierung unter Ber{\"u}cksichtigung von Struktureigenschaften auf der Basis reduzierter Strukturmodelle, Verbundvorhaben MEGADESIGN. Schlussbericht. Berichtszeitraum: 01.06.2003-31.05.2007. BMBF-Forschungsbericht}, pages = {41 S.: Ill., graph. Darst.}, year = {2007}, language = {de} } @techreport{BohnFunkeSuerken2000, author = {Bohn, Dieter and Funke, Harald and S{\"u}rken, N.}, title = {Aerodynamische Entlastung der Schaufelspalte durch Konturierung des Meridiankanals [Zwischenbericht]}, organization = {Forschungsvereinigung Verbrennungskraftmaschinen (FVV)}, year = {2000}, abstract = {Zwischenbericht {\"u}ber das Vorhaben FVV-Nr. 0666880. Laufzeit 01.03.1998 bis 31.03.2000. Heft R 507 (2000) . 19 S. Informationstagung Turbinen, Fr{\"u}hjahr 2000, Frankfurt am Main}, subject = {Str{\"o}mungsmaschine}, language = {de} } @techreport{BohnFunkeMetal.2001, author = {Bohn, Dieter and Funke, Harald and M., Wolff. and S{\"u}rken, N.}, title = {Aerodynamische Entlastung der Schaufelspalte durch Konturierung des Meridiankanals [Zwischenbericht]}, organization = {Forschungsvereinigung Verbrennungskraftmaschinen (FVV)}, year = {2001}, abstract = {Zwischenbericht {\"u}ber das Vorhaben Nr. 688 (FVV-Nr. 066880). Laufzeit 01.04.2000 bis 31.03.2001. Heft R 514 (2001). 21 S. Informationstagung Turbinen, Herbst 2001, Dresden-Radebeul}, subject = {Str{\"o}mungsmaschine}, language = {de} } @techreport{BohnFunkeWolffetal.2002, author = {Bohn, Dieter and Funke, Harald and Wolff, M. and S{\"u}rken, N.}, title = {Aerodynamische Entlastung der Schaufelspalte durch Konturierung des Meridiankanals [Abschlussbericht]}, organization = {Forschungsvereinigung Verbrennungskraftmaschinen (FVV)}, year = {2002}, abstract = {Abschlussbericht {\"u}ber das Vorhaben Nr. 688 (FVV-Nr. 066880). Laufzeit 01.04.2000 bis 31.03.2001. Heft R 516 (2002). 24 S. Informationstagung Turbinen, Fr{\"u}hjahr 2002, Frankfurt-M{\"o}hrfelden}, subject = {Str{\"o}mungsmaschine}, language = {de} }