A Characteristic Projection Method for Incompressible Thermal Flow
A Characteristic Projection Method for Incompressible Thermal Flow
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不可压缩热流的特征投影方法
DOI:
10.1080/10407790.2013.836052
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发表时间:
2014-05
影响因子:
1
通讯作者:
Wang, Shangjin
中科院分区:
文献类型:
--
作者:
Chen, Hao;Su, Jian;Li, Kaitai;Wang, Shangjin
This work deals with the computation of incompressible thermal flow under the Boussinesq hypothesis, and a characteristic projection method is proposed for this. First, characteristic temporal discretization is used to obtain an upwind scheme, then at each time step the energy equation can be decoupled from momentum equations. For the remaining Stokes problem we present an improved projection method, which can overcome the numerical boundary-layer problem of the traditional projection method. In conclusion, only three independent linear elliptic equations need to be calculated at each time step; moreover, the stiffness matrices of finite-element approximation are symmetrical, positive, and time-invariant.
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