A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is d...A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection.展开更多
INTRODUCTIONα-ketoadipate(α-KA),an intermediate in thecatabolism of L-lysine,hydroxylysine,and L-tryptophan,undergoes oxidative deearboxylation toform glutaryl-CoA and then dehydrogenates to formcrotonyl-CoA,the lat...INTRODUCTIONα-ketoadipate(α-KA),an intermediate in thecatabolism of L-lysine,hydroxylysine,and L-tryptophan,undergoes oxidative deearboxylation toform glutaryl-CoA and then dehydrogenates to formcrotonyl-CoA,the latter undergoes furtherdegradation and enters in TCA cycle,as shown inFigure 1.α-ketoadipic aciduria (Mckusick 245130)is a rare inborn error in the metabolism of α-KA展开更多
Externally pressurized spherical air bearings are the key component of the three-axis air bearing table, and the manufacturing errors of the bearing affects the performance of the air bearing table. However, the manuf...Externally pressurized spherical air bearings are the key component of the three-axis air bearing table, and the manufacturing errors of the bearing affects the performance of the air bearing table. However, the manufacturing errors are unavoidable, and the pursuit to enhance the manufacturing accuracy will increase the cost greatly. In order to provide some theoretical guideline for the tolerance choice in the design of the externally pressurized spherical air bearings with inherent compensation, the effects of several manufacturing errors on the static characteristics of the air bearing are studied. Due to the complex geometry of the computational domain, an unstructured meshing technology is used for mesh generation. A finite-volume method is adopted to discretize the three-dimensional steady-state compressible Navier-Stokes equations. A modified SIMPLE algorithm which is suitable for compressible flows is applied to solve the discretized governing equations. The effects of the dimension error and the roundness error of the ball head and the ball socket on the static characteristics are investigated. The investigation result shows that the positive dimension error and the oblate spheroid-type roundness error of the ball head as well as the negative dimension error and the prolate spheroid-type roundness error of the ball socket can improve the bearing capacity and static stiffness of the air bearings by reducing the mass flow. The calculation method proposed in this paper fits well for the general principle, which can be extended to the characteristics analysis of other air bearings.展开更多
基金Supported by the National Natural Science Foundation of China (10671184)
文摘A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection.
基金the grant from the J.A.M.W.Ogyaa Donation Foundation (JODF)National Science Foundation for High-Technology Research Center of Kanazawa Medical University (H98-3).
文摘INTRODUCTIONα-ketoadipate(α-KA),an intermediate in thecatabolism of L-lysine,hydroxylysine,and L-tryptophan,undergoes oxidative deearboxylation toform glutaryl-CoA and then dehydrogenates to formcrotonyl-CoA,the latter undergoes furtherdegradation and enters in TCA cycle,as shown inFigure 1.α-ketoadipic aciduria (Mckusick 245130)is a rare inborn error in the metabolism of α-KA
基金supported by National Natural Science Foundation ofChina (Grant No. 50335010)
文摘Externally pressurized spherical air bearings are the key component of the three-axis air bearing table, and the manufacturing errors of the bearing affects the performance of the air bearing table. However, the manufacturing errors are unavoidable, and the pursuit to enhance the manufacturing accuracy will increase the cost greatly. In order to provide some theoretical guideline for the tolerance choice in the design of the externally pressurized spherical air bearings with inherent compensation, the effects of several manufacturing errors on the static characteristics of the air bearing are studied. Due to the complex geometry of the computational domain, an unstructured meshing technology is used for mesh generation. A finite-volume method is adopted to discretize the three-dimensional steady-state compressible Navier-Stokes equations. A modified SIMPLE algorithm which is suitable for compressible flows is applied to solve the discretized governing equations. The effects of the dimension error and the roundness error of the ball head and the ball socket on the static characteristics are investigated. The investigation result shows that the positive dimension error and the oblate spheroid-type roundness error of the ball head as well as the negative dimension error and the prolate spheroid-type roundness error of the ball socket can improve the bearing capacity and static stiffness of the air bearings by reducing the mass flow. The calculation method proposed in this paper fits well for the general principle, which can be extended to the characteristics analysis of other air bearings.
