In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the converge...In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the convergence of the fully discrete mixed element solution are shown. On the basis of [9] and [10], we have proved that the schemes have second-order convergence accuracy for the time discretization.展开更多
In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete...In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete velocity and pres-sure spaces without requiring the Babuska-Brezzi stability condition. The exis-tence, uniqueness and convergence (at optimal rate) of the discrete solution isproved in the case of sufficient viscosity (or small data).展开更多
In this paper, a characteristic mined finite element method for the non stationary conduction-convection problems is presented. and the solvability and error estimates based on this method is derived.
In this paper the theoretical model is built for ZEpHyR(ZARM Experimental Hybrid Rocket) main engine which is being developed at ZARM institute,Bremen,Germany.The theoretical model is used to estimate the temperature ...In this paper the theoretical model is built for ZEpHyR(ZARM Experimental Hybrid Rocket) main engine which is being developed at ZARM institute,Bremen,Germany.The theoretical model is used to estimate the temperature of exhaust gas.The Conjugate Gradient Method(CGM) with Adjoint Problem for Function Estimation iterative technique is used to solve the Inverse Heat Conduction Problem(IHCP) to estimate the heat flux and internal wall temperature at the throat section of the nozzle.Bartz equation is used to calculate the convective heat transfer coefficient.The exhaust gas temperature is determined using the estimated heat flux,the wall temperature at internal surface of nozzle and the heat transfer coefficient.The accuracy of CGM iterative scheme to solve the IHCP is also investigated and its results are presented.展开更多
文摘In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the convergence of the fully discrete mixed element solution are shown. On the basis of [9] and [10], we have proved that the schemes have second-order convergence accuracy for the time discretization.
文摘In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete velocity and pres-sure spaces without requiring the Babuska-Brezzi stability condition. The exis-tence, uniqueness and convergence (at optimal rate) of the discrete solution isproved in the case of sufficient viscosity (or small data).
文摘In this paper, a characteristic mined finite element method for the non stationary conduction-convection problems is presented. and the solvability and error estimates based on this method is derived.
文摘In this paper the theoretical model is built for ZEpHyR(ZARM Experimental Hybrid Rocket) main engine which is being developed at ZARM institute,Bremen,Germany.The theoretical model is used to estimate the temperature of exhaust gas.The Conjugate Gradient Method(CGM) with Adjoint Problem for Function Estimation iterative technique is used to solve the Inverse Heat Conduction Problem(IHCP) to estimate the heat flux and internal wall temperature at the throat section of the nozzle.Bartz equation is used to calculate the convective heat transfer coefficient.The exhaust gas temperature is determined using the estimated heat flux,the wall temperature at internal surface of nozzle and the heat transfer coefficient.The accuracy of CGM iterative scheme to solve the IHCP is also investigated and its results are presented.
