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从格子气自动机演化方程恢复了宏观热声方程,采用D2Q9热格子气模型模拟热声热机系统的压力场、温度场和速度场,获得压力驻波的传播和反射过程。模拟结果显示,在所给模拟条件下压力波具有非线性的特征,变截面附近的流场区域会产生引起非线性耗散的涡流。本文也分析了谐振管几何尺寸及格子气粒子密度对系统频率和压力的影响,验证了热声热机格子气模型的有效性。
The macro thermoacoustic equation was restored from the evolutionary equation of lattice gas automaton. The pressure field, temperature field and velocity field of the thermoacoustic heat engine system were simulated by D2Q9 thermal lattice gas model to obtain the propagation and reflection of pressure standing wave. The simulation results show that the pressure wave has a nonlinear characteristic under the given simulated conditions, and the eddy current causing non-linear dissipation will occur in the flow field near the variable section. This paper also analyzes the influence of resonance tube geometry and lattice gas particle density on the system frequency and pressure, and verifies the effectiveness of the thermoacoustic heat lattice gas model.