FCMO: A Flow-Curv Mamba Operator for Large-Scale 3D Vehicle Aerodynamics

This paper b r i e f l y reviews the t r e n d towards slender-wing a i r c r a f t f o r supersonic c r u i s e and the e a r l y chronology o f research d i r e c t e d towards t h e i r vortex-1 i f t c h a r a c t e r i s t i c s . An overview o f the devel opment o f vortex-1 i f t t h e o r e t i c a l methods i s presented, and some c u r r e n t computational and experimental challenges r e l a t e d t o the viscous f l o w aspects o f t h i s vortex f l o w are discussed. t h e o r e t i c a l developments, an extensive parametric w i nd tunnel study was performed do eval uate the r e s u l ti ng methods. The general approach f o r t h e a r b i t r a r y planform extensions i s i l l u s t r a t e d an the l e f t o f f i g u r e 10 f o r the cropped de1 %a c o n f i g u r a t i o n . B r i e f l y , the method developed accounts f o r t h e a d d i t i o n a l vortex l i f t over t h e a f t p o r t i o n o f the wing by t h e two a d d i t i o n a l vortex 1 i f t terms. The f i r s t , nCL , accounts f o r the downstream p e r s i stence o f the 1 eadi ng-edge vortex ( b u t n8 a d d i t i o n a l feedi ng) , whi 1 e t h e second, C , i s a r e s u l t o f the a d d i t i o n a l feeding o f v o r t i c i ty p r e d i c t e d from t h e attached L,,,, f l ;iLedge s i n g u l a r i t y d i s t r i b u t i o n a1 ong the side edge. The i n i t i a l research i n t h i s area, performed by Lamar, and the extensions by Luckring cover t h e wide v a r i e t y o f planforms l i s t e d on the f i g u r e and the d e t a i l s o f t h i s research have been reviewed by Lamar and Luckring i n reference 21. L e t us now t u r n from the sharp-edge cases t o those w i t h round edges where the separation i s no longer f i x e d a t the leading edge and the amount o f leading-edge s u c t i o n l o s t i s a f u n c t i o n o f the l o c a t i o n o f the separation l i n e . I n the e a r l y studies, as i l l u s t r a t e d on the r i g h t o f f i g u r e 10, some v a r i a t i o n s i n the measured vortex normal force, CN, , , and i n the remai n i ng ( o r r e s i dual ) l e a d i ng-edge suction, CS, , were observed t h a t ' l e d t o the b e l i e f t h a t there may be a "conservation of which i s a simp1 i f f e d model of the vortex core region, ( 3 ) a higher order near wake, and ( 4 ) a f a r ( o r t r a i l i n g ) wake. Neither the shape o f these three-dimensional