Calculation of Transonic Internal Flows Using an Efficient High Resolution Upwind Scheme

A low diffusion flux splitting method for inviscid compressible flows

“…Godunov's theorem [18] states that linear numerical schemes for solving partial differential equations, having the property of not generating new extrema (monotone scheme), can be at most first order accurate. Hence, for an upwind scheme to be used as a Riemann solver, it is essential to examine the performance of the scheme using first-order accuracy [13]. For all the test cases presented, the solutions are all first order accuracy with discretization errors being easily distinguishable.…”

“…Another flux vector splitting scheme analogous to the AUSM scheme is that presented by Zha and Bilgen [12]. The total flux vector for these methods is split into a convective component and a pressure component following the guideline that the velocity and pressure should be separated to consider their characteristics representing the physics of the convection and waves [13]. Recently, Toro and Vázquez-Cendón proposed two flux splitting methods which are based on a new type of flux splitting formulation [7].…”

Fully coupled fluid–structural interactions using an efficient high resolution upwind scheme

“…The efficient high-resolution E-CUSP upwind scheme newly suggested by Zha and Hu (2004) has been successfully extended and applied to calculate flow-induced vibration with a moving grid based on fully coupled fluid-structural interaction. For an elastically mounted cylinder, various cases with different structural parameters have been calculated.…”

Supersonic Bi-Directional Flying Wing Configuration with Low Sonic Boom and High Aerodynamic Efficiency

“…FASIP has been intensively validated for various 2D and 3D steady and unsteady flows. FASIP has implemented advanced numerical algorithms including various approximate Riemman solvers [16,17,18], 3rd order MUSCL Schemes, high order WENO schemes and central differencing schemes [19,20,21,22], non reflective boundary conditions [23],implicit unfactored Gauss-Seidel dual time stepping for unsteady calculation [24,25], fluid structural interaction [26,27,28], RANS turbulence models [29,30,31], DES and LES [32,33,34,35], preconditioning for incompressible flows [22], and high scalability parallel computing [36].…”