用于非定常问题的时间二阶精度的隐式TVD格式的理论多年来一直是个空白.本文按新的途径构造了一种时间二阶精度的隐式TVD格式,以发展了的手段证明了其为无条件(任意时间步长)TVD的,且限量因子φ不受传统上界的限制,具体构造了这样的新的φ.所得理论结果均为计算所验证,格式显示了良好的稳定性和分辨率.
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