개요
ONERA M6 날개는 1972년 프랑스 국립 항공우주 연구소 ONERA에서 3차원 천음속 유동 연구를 위해 설계된 날개 형상입니다. 날개 형상은 단순하지만 난류 경계층 천이, 충격파-경계층 상호작용, 유동박리 등 천음속 유동의 다양한 현상들을 관찰할 수 있어 CFD 검증용 문제로 오랫동안 사용되어 왔습니다.
![ONERA M6 Wing](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAoHCBYVFRgWFhYYGBgaGh4aHBoaHBocGh4cHBocHhoaHBwcIS4lHB4rHx4cJjgmKy8xNTU1GiQ7QDszPy40NTEBDAwMBgYGEAYGEDEdFh0xMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMTExMf/AABEIAKUBMQMBIgACEQEDEQH/xAAcAAABBQEBAQAAAAAAAAAAAAACAAEDBAUGBwj/xABEEAABAwIDBAcEBwYFBAMAAAABAAIRAyEEEjEFQVFhBiJxgZGx8DKhwdEHExRCUnKyI2KCouHxFUOSwtIWJTOjU2OD/8QAFAEBAAAAAAAAAAAAAAAAAAAAAP/EABQRAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhEDEQA/AOs2hWAuJjPPOIugGOaBIud27XWZ7VkYipmG8mbyVGx0bkGk+oXHWxBIE+/1ZVq1LM6B2X47zPBIV/dbzVerVJsTI3QgkdSbGsaRHC8k8zAjsUQYWk8PncKBztNPXqFPRG89hmUEz6tssfG2nz8VDUJJA4+6UDzccgk4+vXegauQJg6C02HbxWeRN+H3nWA7Br61KtviO7eJHnoqTz2k6y4XMb2sHdcxu1QCLOGYkTMFwEm+6dBbgrT4I7Rr3c+SqMZLw4iSCfvaWOo0B3QPmrVZ4aJdbt9wHkgsU3CLhGw71Ww7pbJtuGvluUrUF6lCuUnDT160WbT8FdouHf6+SDmvpFb1KOntO8guIYV2v0g+xR/M79IXFMcg0M88uQUNEdc8YUtF0hDSHXjkUAvCrkK49qrEII4TZUaFxQItQvF1JSbJiQObtO9C8IIyEgnSCASEKkQkoGCkYNVHKkpb0DEISFKVGUAuCZEUCBImoQiCAp7E6GEkHp5eAPXFC14t69Bd63ZOHaJbRafzS7zRiiwaU2A3+435IOFFNx0aSOyykdgajtGOM/u7l3NF53Ze5oHwT1nHig4dmzK0ACme9WKew6ztYHeunJM6p23Qc23o086vaPfvU56PAWzyeInmukz2It6KrPegwXdHmERnfPKPXFMNhU2iBO+b6k7zxW4w68gqxfr2IKNHYlECcs8BmMAWsAlX2VSh5yNBykZgSDod+5aANkNQdV3Eg69lkHDYJvVN5EyNbdhNz/VWSZM96iwmGLRe53mSRrzU4F0ElNnb65KzTsq7ArDAfWiDnOn4/Z0vzu/SuKAXbdPG/sqR4VD+k/JcTKC1hTYqVnt9xUeG3o2e33FAVRyqucrFUKoEBtuEBVimwx3KN7bSgCET9JTNCmeIb4hBUKcBOUigTh5KKFO4KugcqagJUCloC/cgkcFFCsPZaVA5qACgRuQIEjao5RBBIkglMg+k3Oso3Otr7kiLISSeHrggVE7kT3RKAX7VIQgrOk8B69eCBwc24vv5+Kle+DuTVHyDEIImYj5JsQ+DI4qrUfeRu8t8qZjg5ttYn17kEuHdIOiq1dZ4ypsMSAbb1DiLjTX1qgTRfl/SVJiG2nkezd8k4p9SefwQ4gdR3Jrt/JByT32I5lAx/r12KJj575RMPrwQWGv5etFPTfPBVKbD3K7QoOItfig57puZossPb/2OXFyu36cYV7KDC4RNQDn7DlxEILWEKmDeuOwqLDtgczwVvZzS+uxvG3ighxFMglVqNPNPYVtbVow8jW50WSyWNJIiZAnvHwQT4V3WLIHHfpEfFNVoZbDsW7sPZJI+sEXZvHMaKzidngMc0t3g5jrbMI/mQcoMOZ7brUOzi6jIB3kHdaJ9yn+w3nhA8RPwHiux2bslz8NaQDYceOiDzergMpv3/wBJUL6QGi7LF7BdMlronV1lk1djvkkDMd2sIMQtGUqg43W/iMKQx3VtHLiBdYDtUCClokCSeCjaE5QT/aDFgPRUD3kpwUJCBZkJVh9LKBvJAPYCJE87qAiyAYThMnaEBJJoTIPo8lMRKEuTOegJgKKIATM05oXOQV6/xHuSmRFroK99/q6VEygrVWd6iovgkRvkT64qevY8lVY3M6xEcjaUFugbE6FS5JAso2CLb+xGwl2lhx4xw5c0EracDT1CZlOzhxBR0X5padVJSF4gf3QcE6iGzLhNza6ia8D16hX9r7LfScA4gkgk8uuR5eapUMKXGB6lBLRxob92VdO0nmzRbgFobK6LB7Q95tEwFs4XZzWmGNHOboPOOm7XnDsc8H/yDX8rlwwXrn0oYaMEHGJFRlhza4eu1eRMKC6wc1pdFqWfG0Gi81BPZMk+CzqRst7oEP8AuOH/ADO/Q4/BB2219gZHue1gMvAHfTv75KiwHQNj8jnuzZXHM0Nc1p3w4ulztRpA5L0KvRDtQDBm6la2EGLU2Sxo6rQIaGgAWgACLblgbT2d1SYsTraBB0C7h7VlbXwedjWgE9YyBYaHXkg4TA7LBqFpmwbc6ezovQNmYMMpBo0PyWRh8IG1QyB1WAnvn5LpaTIaBwCCq7AsNoHgqOK2YwzbjZbLu1CWAoPLekWy2sY95EWIFu+fHzXlzxJK9z6b12DDVHvADWkNHEuOgHE6ryjo3sb7XVyEloO8CYJ4oMmlhy72b8hr4Lc/6UrfUOrwAwCZJABHLmutPQP7Mc76jXMHWzaEkfdjjE6cFo7QxjH0x9pcMLhoGWlH7Wod5a38N235ckHnnR7o8cQ6XVG0qYcA57jvdMBo3mx8F1W2ti4FmHNLCu+uruezNUkEtaHBzjIgAGIi+vhzrcPW2hW+qwtOKbPYbMNY3QPeeJ3m51hel7E6HMw1HITneXZ3u0zOygR+URYdp3oPIcbQDHZRukdsLOIt3rrekmEDMTkZvcATG9zgMo4RxXLPYQ0dp+CCAhO1O5JqApTpoToPocaXhMYsJT34JjY6+5AYKgrHVSOfZU69VADjaZ0VZlXJJc+BNz3IMTjGsYXOcI7Z03LksdtcvMmzQbNHDmgtbc2q6oSGvLWeBJWXgvrMwyVn05MEgN0ngbWVOpipMCZOg4z5rtejuwCwCrWEON2sO7m7ny9ALOzdl1WPz1MTUqN3NIY0GRqYEx2EaLVeCXAh0AAy20EmI8L+KshpKDJNo1BQQsN5VzCi4PMfBV3DLYAZtYnS29TUXdYCBroEFHbzQ94B3A/qcqWGpMBkAW+SfaVY5xPA/qcqDK8HtQdTRx+UQOCkw2LEEkgE+h5+5cx9pOinwzwRc+/16KCh9JeJz4Qi0fWM+K8lC9R6evD8IWshxzsMNuYHAC++exebDA1PwO7xHmgKk+Qt/oFUDdo4ed73N8WOCxsPs6qT7EdpA8ytro1hH0cVRrVAAxj8xuCYANwN9yg92rVA1pcdPHeplyeJ6X0MpAD3E2AygTpbW+hVin0sY4wKb++Pgg36lQAgc/XwVepW6oI36DzWDiuk43U9OLh6/uqDOkbxHUZI0uSYPYg6TDNzPzR929t4c63v9y0wuEHSSsJysaJ7TqSfmo39KMSJksaNT1W2Heg76Uy8/Z0hxBEuqgF2jQG9UbtLz63Ivt1d0k1XgcifKEFr6SabDhA14hhrMl8OIZIePrCG3dGkfvdiwegb8NgmF9as36yoA4BoLmhhJFi0G8g8LQtHEPzANe97gT1s2gjQgO1PgocRka3qPc4mwaDbMTYkNceqLk20HJBe6QdMWGm00qLqxD5yFj8tmu9q25xb4Fcl0ZY/FY/67HsJbkcf2jS1kizGgERAkkDiF0OHwzmiJJHeZJ1JhupvJQjDAG8jwHmR6KDo9mPwOGLjTLGOqO6wbmMkZiI4DXkh2j0hZfI4GxA6rtSLRwv5Lm8PRDqjg1xOQAbyJfex61wB/Mr9TCkNcS3MQCdJ0EwDlHooOPxOEe9xrZ29R2ZxOaSWOl0ADiCue2zs91JrczgcziZE8pF/V16Y/AxTYHEMe4sBEjKXGHPtm4Zlzf0hYTLRov1mo8TbewH4IOG+x1C0P+rfkOjsjsp7HRChhe6dDaQfs2g2SAaZBix9t4sdywtubCpAi7r2vlIEdrR5oPKEl3X+DUfxt/00/wDkkg9Oc9RmomqP4qtVrwNb9iB69aPQWNj9oNYJMEncN/r4qPam0wyRMu9an4Lmary9xc4yeKCLa+Oces8zwA0Hr4rNZig9wa0Oc4mAAJJO4Ab0GJDq9RtOk0vcTAA3n5a3XpXRfoszCNzuIfWIgu3N/dZ8TvjuQQ9H+jzMM0V696guBq1k2t+J1xfdNuJ6d7/77t6Tgq2JxDWWtO4T7ydyCyakC8fBZ2K2oGjqif3jYdwKrVsRm1cCJsACR7tSq9amXCRa34QPc5AA2m8TBbJ7JPMoTtOsDOYDsA+SAUXbgTfi0eSd1EcQP4j5hBUxFZ7zJJJ4wfmFVqEjX3az4qfEdUj2Cdzbk9pvYc/7J6dKYJ9qPwkAaGBIsEFVzHOmfDMPefhyUraR3+ZPkFaFMyfa7sqNtE6kRw63yQZ5ok6fGfNVjgmF0vJ9274LWLBqcgHEkn5IfqA6N/MMJ/ogzmUKQ0uY00vx3onsDROU6wIBJJOgHP3LU+zRueRqbNAHHhzT4bCZ+u5pAI6oJiB+I7wSN24Ac0GJUApjPUBuYENc4DkPmRdauDY0tD2gAHTNDT3giQrwoMGmTtJk+NlM2ozcZ5tY53lKCm1k7x3P+QQOp7utP5X+dgtX6swLPd2ADzhO2kTqwgc3fAEoMyjhLyWE9oaPiSo6tMOflhgYyCQXNEvsWiQCZbZxHNq1ngMa50UxHDrOOsDdcmAiw9INaG5usZLixhMuPtGQCNUFFtO0yLawHu8oPBQf4Ox9T6wscXTOjhcb4e+Pd4rZFF2kVH8+o0eYRtwMiSwdj3lw17CJQUamHi5t2uYwd8BQUqIfV1aRTbbK4v675nSNG/rW1TpARmdSHABs+Em/gq+ymtew1GPqRUcXxkyyDDW3c38DWb0ENPCyZif/AMiD/qebq8MKQLNcOXUb5BWWYcm2R/8AE+Pc1xT4nDvYx7mMptysc7QuJIBPLggy9nDM2S5suc5wh5JjMQ2wA+7CWNodWAJlzGmKZBhz2gnO4keyT4LXw+BeGMaHlsNaOq1u4DiCir7PkszOc4B8mSRYMfElsb4QUMQzr02w77zgJY32Rlmw/e9689+knGOJZTJsIdE5r3uDruXoONOEo1WvfVpsApvb1ntJJc5h0JJJhpXj/THHsrYp7qTs1MEBrogGwkwefkg9X6BVGjZtAuNoeP8A2PXK9J8dQLsocbH8ZI5Wmy0+idT/ALSzKT1X1AYv/mP3d64LauGdmLo15BAf2tv4h4v/AOaSycp/CUkHteJqRKw9o7SyjKy53ncP6odq7RJljTvMnzWJVeJ9ev7IIKzjqTJNyT81k4nFOeRTpguLjl6tySbANTbRxs9Vmm8rsvo62CGt+0vHWdZgO5u9/aYty7UG50U6MswjMzodXeOu/XKI9hh3N48T2Bbbu3eje9QsGcmxyDgPa10J3WQQ1Hl0hhgaF27mBxKqPZFi9nx7yXXK0nUhNqYHPqjfyMpnMd90NHOT5AfFBkmhzJ7BP6QVEKU7nnmSW+6R5LW+rNyS0E2kNgx3kqu8tGtS3It4chKDOdRP4AfzO+UqKuCwQGszGzWiYJjfDRA4mD5K/XeyJIdaB/mCSbADcbn3KChhYcSadzqerlAFw0Ame+LoKbKYBM1Gl51Iiey5MDgPM6nlH7x7Gk+8N7VpPov+6Ggdp8gI96TcK+LkDmBHmSgoUqY1yv7z2bi5EcM5x9hneb6cMp81bFNoMuqTG6WxqPwiUTKTHmYe7tFQj+ayCg+k4R1mNG+Wk+BLhCOiwG+efygH3AElX2ULwKcDicg8ACVJWD2Nc7Ky2gkuLj91oByiXGAL6lBlPwwe8MAe5oIL9ROsMIJbY6kxcW3q7Xwxd/lNd+ctj/cfctHCbNeGCXkOd1nlrW3ce0HSwHIBWBs2RBLzzLiDv/DCDKp4VwbADGeLgLjcMqJmWYNdubg0MHuJcQtalslg+4O03O7eVdo4RrdBHZZBztSk06ms78oe0eLQBv4ozhpbH1WbdDy0+JJcVv1nMYOs5re0geay8T0iwdP2qzLfhl36QUFU4J5exjA1gBNQ5RmaQ2zGOADYl5zW1+rI3rSbg3nV/wDpYB+rMuYxH0k4RryWMqvkASGtaOqXH7zgd/BZGM+lN5P7PDsA4vcXHwbEeKDvjs0HV7z/ABFo3bmQphsth1Y0xpmAd7yvHsd9IeOf7L2UxwYxvm+Vi4zb2JqmX4io7+MtHg2Ag902piKVKm8GrTpuyODc72tAdlIbM6CYWTiOmmz6Qyiu14AADaYL7Dm0QB3rxB5JuSSeJufFAUHruM+lDDM/8dGo/tysb43PuWLi/pSrPBazD02Agg53OqTOosGBeeSnag6jG9Pcc8QKwYP/AK2Nb74JHisLF7WxFUEVK9V4O573uHgTCqOKEoIzZCUZCEhB3PQTbYZSqUHEjMc4ud4gxw3LJ268ZjBcRO8LDwdUscCFcxFYumZQV55pIMvqySDug30fXFc1ttzfrDEydTPLSNy6OvWDGFx0XMPpFzy928z8kE+wdlnEVmMmATJPBouT4eYXsDaIYGBssazQA2gCADxAEd4XK9AsGAx9XeXZB2NAJv2keC62lQdVJDbNGpOhPAXCB6THP0jID94lpO+0A7/I911jHx1Sxo3dUn4jyUxwzyID8nDK1un8Uo/stoLnu/iLT4shBA+g6Os93aA0f7VSIptcJqX4Gob/AMIMe7gtNuBYPuDvufEo24aNAAOSDGexma1Mlx3imf1ER70Rz/dYe8taPcT5La+zqvjsLmZlAnMQ114hpPXMjflkDmQg5+hh31CH5WNA9i5eNI+s0bBMkDlf7yvU8A7e7sDWAfqzGVtljW6wPABVa+18Oz2qjB2GfJBROzSTJL+5xb+iAi/wgOMuY0kDUgE+JlVq/TTDNnLnfH4Wx+qFjYv6Q/8A46B7Xuj3NlB1LNndw5QrLMCAvLdqfSDiiIZkYeIbJ/mJ8lzeM6U4yoIfiakcGkM/QAg90qMpsEvc1o4uIHmsTaPSTANAzYik4NeHlrCHklhzNEMmCHBrv4V4dWrOdd7nOPFxJ81HKD2XFfSbg2A5G1XnkzKPFxHksTE/Ss82p4Zo5vqE/wArWjzXmspgUHZ4j6RMc+QHU2D9xgJA7XkrPqdI8VUu/E1Ta4D3NB7mwFglWKTrINA1S72jN99z23VXHYm2Ud/coqlWBqqL3lAcpSo5RSgRCTHRogKQKAyUJdzTShlARRNQSnBQO5CCnJQSgdMkkgcBTgyFBKNjkEk8kkOf94e9JB6TgthjEvcDUa1rAIB1LnZpPYAAPFWP+jGHStSnhmEnumyw69Mm8kGIkEgx3HmsnFfWNuxz3X0zGY70Hpey8EKeTDAibhzmnjLnEHfrGvyXY0KDWNDWiAF5JsvEVGtpvDiH5WkTEzEGeO8LXdtLFVLfaHjk0Mb5NlB6PACp19q0Ge1Vpt5FzZ8JXn1LCl4DnveSYPWc4m4BvOirYukxsgCSg7mt0swzdHOf+VpjxMBZ9bpmJhlEm+rnBvuAK5BrFPTpFzrAW8EGvjulmI+6GN7iT3ElZ7ttYlx61V+mjTl17FWxNM2B1RMo62+SCB73vPWc5x/eJPzQevXiPHxsGnf1qhbTQYr3e0BxPn/ZV6tSJVl7hLu0+ZWbj3T2aoM7EvmVWlWHhV3BAxQlSFnVJ4KAlAUp2lAE4CCySjzQPXoKu8p86BPqEpkCclAikhlOgZxTSkSkECCYp0yBJ2oU4QFmQJ0xQJIlMSlKAkgUGZEEBZkk0pIPQ33Fu9VqrfXYrDjy5K1h8DPWdpwQQ4Sg8iw00neOA9/itvBwzUHTgVI1gsREKRo9evV0GZj8Y+SB1Z8YWeyd/j2rarUAbG/9EDMK0GfQ7kFOjQnXTj69div0GgN9euHimqO0aLfLijAIaBbz/v64oKuIZcevXrVImPlySqu63oqtiMSGXJ7v6IDJFyd3Z6CysVjoBDdeO7ulV8VinP3wFQqnW+7igdjyZ8feUsQ3MOwevh4qCg7uU2qCi7C8Cq/2UzdbQZKhrs4BBSxFMCm7s+IWMHLfx7f2buxc7mQSSlKFrk2ZBM56QUYJRAnggkTQmzcksyAkpTTKchABSKUIoQClCIdqZAKUI4HFEAEEZQqQhCQgFNCchFCCMhEnAShA0pIsqSD1nD4ZrCLZja55jgrDzqkkgalcEdl+2/w96sMNvXD+iSSAXGxMaEW7YQRMHTfHrtTJIIiJk77KR7oBPrekkgzNpVi241P9Vz9SsXEuJukkgB1GBdxPu38vV1VrNHDd8EkkDUvJWNbet6SSCQIcTp65pJIM/Hew7sXOJJIHapGhJJBKwqQCydJA/wBWCgc2ySSBwJTuakkgB4RUgkkgM0gnyDgnSQM2iJSfRCSSBvqgDp6CH6oeu1JJABZzQvKdJBIxghNCSSCTKnSSQf/Z)
ONERA M6 풍동실험
문제 정의
- 압축성 정상 유동
- 마하수 = 0.8395
- Static 압력 = 80558.7 Pa
- Static 온도 = 255.36 K
- 레이놀즈수 = 11.72E06
- 받음각 = 3.06도
- Reference length = 0.64607 m
- Reference area = 1.51499432 m^2
![](http://nextfoam.co.kr/upload/file/0607180040.PNG)
ONERA M6 날개 형상
FAMUS 셋업
- 옥트리 질점 약 284만개, 프리즘 질점 약 357만개
- 유동 타입 = 압축성 정상 유동
- 점성 모델 = 난류 kw-SST
- 공간차분법 = MLP MINMOD
- 시간차분법 = LU-SGS
- Flux 기법 = M-AUSMPW+
해석 결과
- 압력 분포 결과
![](http://nextfoam.co.kr/upload/file/1017114651.png)
- 풍동과 압력계수 비교(상단의 숫자는 날개 span 위치를 의미)
![](http://nextfoam.co.kr/upload/file/1017114607.PNG)
참고문헌
- Schmitt, V. and Charpin, F. Pressure distributions on the onera-m6-wing at transonic mach numbers. AGARD-AR-138, 1979.
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