In this paper,a new five-point targeted essentially non-oscillatory(TENO)scheme with adaptive dissipation is proposed.With the standard TENO weighting strategy,the cut-off parameter C_(T) determines the nonlinear nume...In this paper,a new five-point targeted essentially non-oscillatory(TENO)scheme with adaptive dissipation is proposed.With the standard TENO weighting strategy,the cut-off parameter C_(T) determines the nonlinear numerical dissipation of the resultant TENO scheme.Moreover,according to the dissipation-adaptive TENO5-A scheme,the choice of the cut-off parameter C_(T) highly depends on the effective scale sensor.However,the scale sensor in TENO5-A can only roughly detect the discontinuity locations instead of evaluating the local flow wavenumber as desired.In this work,a new five-point scale sensor,which can estimate the local flow wavenumber accurately,is proposed to further improve the performance of TENO5-A.In combination with a hyperbolic tangent function,the new scale sensor is deployed to the TENO5-A framework for adapting the cut-off parameter C_(T),i.e.,the local nonlinear dissipation,according to the local flow wavenumber.Overall,sufficient numerical dissipation is generated to capture discontinuities,whereas a minimum amount of dissipation is delivered for better resolving the smooth flows.A set of benchmark cases is simulated to demonstrate the performance of the new TENO5-A scheme.展开更多
基金the fund from National Key R&D Program of China(No.2022YFA1004500)the fund from Research Grants Council(RGC)of the Government of Hong Kong Special Administrative Region(HKSAR)with RGC/ECS Project(No.26200222)+2 种基金the fund from Guangdong Basic and Applied Basic Research Foundation(No.2022A1515011779)the fund from the Project of Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone(No.HZQB-KCZYB-2020083)the fund from Key Laboratory of Computational Aerodynamics,AVIC Aerodynamics Research Institute.
文摘In this paper,a new five-point targeted essentially non-oscillatory(TENO)scheme with adaptive dissipation is proposed.With the standard TENO weighting strategy,the cut-off parameter C_(T) determines the nonlinear numerical dissipation of the resultant TENO scheme.Moreover,according to the dissipation-adaptive TENO5-A scheme,the choice of the cut-off parameter C_(T) highly depends on the effective scale sensor.However,the scale sensor in TENO5-A can only roughly detect the discontinuity locations instead of evaluating the local flow wavenumber as desired.In this work,a new five-point scale sensor,which can estimate the local flow wavenumber accurately,is proposed to further improve the performance of TENO5-A.In combination with a hyperbolic tangent function,the new scale sensor is deployed to the TENO5-A framework for adapting the cut-off parameter C_(T),i.e.,the local nonlinear dissipation,according to the local flow wavenumber.Overall,sufficient numerical dissipation is generated to capture discontinuities,whereas a minimum amount of dissipation is delivered for better resolving the smooth flows.A set of benchmark cases is simulated to demonstrate the performance of the new TENO5-A scheme.
