【摘 要】
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A time domain boundary integral equation method,which is named as quasi-initial condition method [1-3],is applied in this paper to solve the transient heat
【机 构】
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CollegeofMechanicalEngineering,HunanUniversityofTechnology,Zhuzhou,412001,ChinaStateKeyLaboratoryofA
【出 处】
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第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
论文部分内容阅读
A time domain boundary integral equation method,which is named as quasi-initial condition method [1-3],is applied in this paper to solve the transient heat conduction problem.The numerical implementation begins with the following boundary integral equation:C(y)u(y,tm)=(1/pc)∫(tm)(tm-1)∫Γu(x,y)q*(y,x.,tm,t)dΓ(x)dt-(1/pc)∫(tm)(tm-1)∫Γu*(y,x.,τ,t)q(x,t)dΓ(x)dt+∫Ωu*(y,x.,tm,tm-1)u(x,tm-1)dΩ(x)+(1/pc)(∫(tm)(tm-1))∫Ωu*(y,x.,tm,t)Q(x,t)dΩ(x)dt(1)In conventional implementations,however,this quasi-initial condition method suffers from a numerically unstable problem when the time step is small [4-5].
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