Purpose:　Hypoplastic　left　heart　syndrome　(HLHS)　is　a　congenital　heart　disease　and　is　usually　associated　with　pulmonary　artery　stenosis.　The　superior　vena　cava-to-pulmonary　artery　(bidirectional　Glenn)　shunt　is　used　primarily　as　a　staging　procedure　to　the　total　cava-to-pulmonary　connection　for　single-ventricle　complex.　When　HLHS　coexists　with　pulmonary　artery　stenosis,　the　surgeons　then　face　a　multiple　problem.　This　leads　to　high　demand　of　optimized　structure　of　Glenn　surgery.　The　objective　of　this　article　is　to　investigate　the　influence　of　various　anastomotic　structures　and　the　direction　of　superior　vena　cava　(SVC)　in　Glenn　on　hemodynamics　under　pulse　inflow　conditions　and　try　to　find　an　optimal　structure　of　SVC　in　Glenn　surgery　with　unilateral　pulmonary　artery　stenosis.　Method:　First,　3D　patient-specific　models　were　constructed　from　medical　images　of　a　HLHS　patient　before　any　surgery　by　using　the　commercial　software　Mimics,　and　another　software　Free-form　was　used　to　deform　the　reconstructed　models　in　the　computer.　Four　3D　patient-specific　Glenn　models　were　constructed:　model-1　(normal　Glenn),　model-2　(lean　the　SVC　back　to　the　stenotic　pulmonary　artery),　model-3　(lean　the　SVC　towards　the　stenotic　pulmonary　artery),　model-4　(add　patch　at　junction　of　the　SVC　toward　stenosis　at　pulmonary　artery).　Second,　a　lumped　parameter　model　(LPM)　was　established　to　predict　boundary　conditions　for　computational　fluid　dynamics　(CFD).　In　addition,　numerical　simulations　were　conducted　using　CFD　through　the　finite　volume　method.　Finally,　hemodynamic　parameters　were　obtained　and　evaluated.　Results:　It　was　showed　that　model-4　have　relatively　balanced　vena　cava　blood　perfusion　into　the　left　pulmonary　artery　(LPA)　and　right　pulmonary　artery　(RPA),　this　may　be　due　to　less　helical　flow　and　the　patch　at　junction　of　the　SVC.　Near　stenosis　of　pulmonary　artery,　model-4　performed　with　the　higher　wall　shear　stress　(WSS),　which　would　benefit　endothelial　cell　function　and　gene　expression.　In　addition,　results　showed　that　model-4　performed　with　the　lower　oscillatory　shear　index　(OSI)　and　wall　shear　stress　gradient　(WSSG),　which　would　decrease　the　opportunity　of　vascular　intimal　hyperplasia.　Conclusion:　It　is　benefited　that　surgeons　adds　patch　at　junction　of　the　SVC　towards　stenosis　at　pulmonary　artery.　These　results　can　impact　the　surgical　design　and　planning　of　the　Glenn　surgery　with　unilateral　pulmonary　artery　stenosis.