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<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/638e15bae53e5839a729bf35/bg1.jpg"><div class="c x0 y1 w2 h2"><div class="t m0 x1 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0">ALE<span class="_ _0"> </span><span class="ff2">方法详解及各选项卡参数意义与设置</span></div><div class="t m0 x2 h3 y3 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff1">ABAQUS/Explicit</span>)</div><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="ff2">为了方便理解,先整体介绍一下<span class="_ _0"> </span></span>ALE<span class="_ _0"> </span><span class="ff2">网格自适应方法的基本过程</span></div><div class="t m0 x4 h3 y5 ff2 fs0 fc0 sc0 ls0 ws0">一个完整的<span class="_ _0"> </span><span class="ff1">ALE<span class="_"> </span></span>过程可以分为若干个网格<span class="_ _1"> </span><span class="ff1">remesh<span class="_ _0"> </span></span>子过程,<span class="_ _2"></span>而每一次<span class="_ _0"> </span><span class="ff1">remesh<span class="_ _0"> </span></span>的<span class="_ _2"></span>过程可</div><div class="t m0 x3 h3 y6 ff2 fs0 fc0 sc0 ls0 ws0">以分为一下两步:</div><div class="t m0 x3 h3 y7 ff3 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"> </span><span class="ff2">生成一个新的网格(<span class="ff1">create a new mesh</span>)</span></div><div class="t m0 x5 h3 y8 ff2 fs0 fc0 sc0 ls0 ws0">利用各种算法以及控制策略生成一个良好的网格</div><div class="t m0 x3 h3 y9 ff3 fs0 fc0 sc0 ls0 ws0">2<span class="_ _0"> </span><span class="ff2">环境变量的转换(<span class="ff1">advection variales</span>)</span></div><div class="t m0 x5 h3 ya ff2 fs0 fc0 sc0 ls0 ws0">也<span class="_ _2"></span>就是<span class="_ _2"></span>将<span class="_ _2"></span>旧<span class="_ _2"></span>网<span class="_ _2"></span>格<span class="_ _2"></span>中的<span class="_ _2"></span>变<span class="_ _2"></span>量<span class="_ _2"></span>信<span class="_ _2"></span>息<span class="_ _2"></span>利用<span class="_ _3"> </span><span class="ff1">remapping<span class="_"> </span></span>技术<span class="_ _2"></span>转换<span class="_ _2"></span>到<span class="_ _2"></span>新<span class="_ _2"></span>网<span class="_ _2"></span>格<span class="_ _2"></span>中,<span class="_ _2"></span>也<span class="_ _2"></span>有<span class="_ _2"></span>不<span class="_ _2"></span>同<span class="_ _2"></span>算法<span class="_ _2"></span>,</div><div class="t m0 x3 h3 yb ff2 fs0 fc0 sc0 ls0 ws0">其中包括静变量(应力场,应变场等)的转换与动变量(速度场,加速度场等)的转换</div><div class="t m0 x5 h3 yc ff2 fs0 fc0 sc0 ls0 ws0">生成的新网格成功与否则在于对这两步的控制</div><div class="t m0 x3 h3 yd ff2 fs0 fc0 sc1 ls0 ws0">首先来看第<span class="_ _0"> </span><span class="ff3 sc0">1<span class="_ _0"> </span></span>个大部分<span class="ff3 sc0">--</span>对整个<span class="_ _0"> </span><span class="ff3 sc0">adaptive rem<span class="_ _4"></span>esh<span class="_ _0"> </span><span class="ff2 sc1">过程控制:</span></span></div><div class="t m0 x3 h3 ye ff2 fs0 fc0 sc1 ls0 ws0">包括<span class="_ _2"></span>两<span class="_ _2"></span>个方<span class="_ _2"></span>面<span class="_ _2"></span>:一<span class="_ _2"></span>个<span class="_ _2"></span>是对<span class="_ _5"> </span><span class="ff3 sc0">adaptive remesh<span class="_"> </span></span>过程的<span class="_ _2"></span>算<span class="_ _2"></span>法控<span class="_ _2"></span>制<span class="_ _2"></span>,另<span class="_ _2"></span>一<span class="_ _2"></span>个对<span class="_ _5"> </span><span class="ff3 sc0">adaptive mesh<span class="_"> </span></span>过程</div><div class="t m0 x3 h3 yf ff2 fs0 fc0 sc1 ls0 ws0">强度的控制</div><div class="t m0 x3 h3 y10 ff1 fs0 fc0 sc0 ls0 ws0">1.<span class="_ _6"> </span><span class="ff2">对<span class="_ _0"> </span></span>adaptive remesh<span class="_ _0"> </span><span class="ff2">的算法控制</span></div><div class="t m0 x6 h3 y11 ff2 fs0 fc0 sc0 ls0 ws0">算法控制包括两部分算法控制,<span class="fc1">其一为网格算法控制,其二为变量转换算法控制</span></div><div class="t m0 x5 h3 y12 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff1">1</span>)网格重画算法控制:</div><div class="t m0 x5 h3 y13 ff2 fs0 fc0 sc0 ls0 ws0">在<span class="_ _0"> </span><span class="ff1">ABAQUS<span class="_ _0"> </span></span>中是如何生成新网格的呢?</div><div class="t m0 x5 h3 y14 ff2 fs0 fc0 sc0 ls0 ws0">即<span class="_ _2"></span>使<span class="_ _2"></span>用<span class="_ _2"></span>网<span class="_ _2"></span>格<span class="_ _2"></span>扫<span class="_ _2"></span>掠<span class="_ _2"></span>技<span class="_ _2"></span>术<span class="_ _2"></span>(<span class="_ _7"></span><span class="ff1">mesh <span class="_ _2"></span>sweep <span class="_ _2"></span><span class="ff3">technique<span class="_ _2"></span></span></span>)<span class="_ _2"></span>,<span class="_ _2"></span>每<span class="_ _8"> </span><span class="ff1">sweep<span class="_"> </span></span>一次<span class="_ _2"></span>,<span class="_ _2"></span>生<span class="_ _2"></span>成<span class="_ _2"></span>一<span class="_ _2"></span>套<span class="_ _2"></span>新<span class="_ _2"></span>的<span class="_ _2"></span>网<span class="_ _2"></span>格<span class="_ _7"></span>。</div><div class="t m0 x3 h3 y15 ff2 fs0 fc0 sc0 ls0 ws0">但<span class="_ _2"></span>是当<span class="_ _2"></span>你<span class="_ _2"></span>使<span class="_ _2"></span>用<span class="_ _2"></span>的<span class="_ _2"></span>算法<span class="_ _2"></span>不<span class="_ _2"></span>同<span class="_ _2"></span>时<span class="_ _2"></span>,<span class="_ _2"></span><span class="ff1">sweep<span class="_"> </span></span>出来<span class="_ _2"></span>的<span class="_ _2"></span>网<span class="_ _2"></span>格也<span class="_ _2"></span>是<span class="_ _2"></span>不<span class="_ _2"></span>同<span class="_ _2"></span>的<span class="_ _2"></span>,打<span class="_ _2"></span>个<span class="_ _2"></span>不<span class="_ _2"></span>是<span class="_ _2"></span>很<span class="_ _2"></span>恰当<span class="_ _2"></span>的<span class="_ _2"></span>比<span class="_ _2"></span>方<span class="_ _2"></span>:<span class="_ _2"></span>用</div><div class="t m0 x3 h3 y16 ff2 fs0 fc0 sc0 ls0 ws0">不<span class="_ _2"></span>同的<span class="_ _2"></span>工<span class="_ _2"></span>具<span class="_ _2"></span>做<span class="_ _2"></span>同<span class="_ _2"></span>一件<span class="_ _2"></span>东<span class="_ _2"></span>西<span class="_ _2"></span>,<span class="_ _2"></span>做<span class="_ _2"></span>出来<span class="_ _2"></span>的<span class="_ _2"></span>质<span class="_ _2"></span>量<span class="_ _2"></span>与<span class="_ _2"></span>精度<span class="_ _2"></span>会<span class="_ _2"></span>不<span class="_ _2"></span>一<span class="_ _2"></span>样<span class="_ _2"></span>,同<span class="_ _2"></span>样<span class="_ _2"></span>,<span class="_ _2"></span>用<span class="_ _2"></span>不<span class="_ _2"></span>同<span class="_ _2"></span>的<span class="_ _2"></span>算法<span class="_ _2"></span>来<span class="_ _5"> </span><span class="ff1">sweep</span></div><div class="t m0 x3 h3 y17 ff2 fs0 fc0 sc0 ls0 ws0">网格,得到的网格质量也会不一样。</div><div class="t m0 x7 h3 y18 ff2 fs0 fc0 sc0 ls0 ws0">在<span class="_ _1"> </span><span class="ff1">ABAQUS<span class="_"> </span></span>显<span class="_ _2"></span>示<span class="_ _7"></span>模<span class="_ _2"></span>块<span class="_ _7"></span>中<span class="_ _2"></span>,<span class="_ _7"></span><span class="ff1">sweep<span class="_"> </span></span>算法<span class="_ _7"></span>用<span class="_ _2"></span>英<span class="_ _7"></span>语来<span class="_ _7"></span>说<span class="_ _2"></span>就<span class="_ _7"></span>是<span class="_ _1"> </span><span class="ff1">mesh<span class="_ _2"></span> <span class="_ _2"></span>smoothing <span class="_ _2"></span>method,<span class="_ _7"></span></span>有<span class="_ _2"></span>三<span class="_ _2"></span>种</div><div class="t m0 x3 h3 y19 ff2 fs0 fc0 sc0 ls0 ws0">算法来<span class="_ _0"> </span><span class="ff1">sweep<span class="_ _0"> </span></span>网格,如下所示:</div><div class="t m0 x7 h3 y1a ff1 fs0 fc1 sc0 ls0 ws0">1<span class="ff2">)体积算法(</span>volume smoothing<span class="ff2">)</span></div><div class="t m0 x8 h3 y1b ff2 fs0 fc0 sc0 ls0 ws0">该算法十分健壮,为默认算法,再绝大多数情况下适用</div><div class="t m0 x7 h3 y1c ff1 fs0 fc0 sc0 ls0 ws0">2<span class="ff2">)拉普拉斯算法(</span>laplacian smoothing<span class="ff2">)</span></div><div class="t m0 x7 h3 y1d ff1 fs0 fc0 sc0 ls0 ws0"> <span class="_ _2"></span> <span class="_ _2"></span><span class="ff2">耗<span class="_ _2"></span>费资<span class="_ _2"></span>源最<span class="_ _2"></span>少的<span class="_ _2"></span>算法<span class="_ _2"></span>,能<span class="_ _2"></span>力一<span class="_ _2"></span>般,<span class="_ _2"></span>作用<span class="_ _2"></span>与体<span class="_ _2"></span>积算<span class="_ _2"></span>法类<span class="_ _2"></span>似(<span class="_ _2"></span>一阶<span class="_ _2"></span>算法<span class="_ _2"></span>,类<span class="_ _2"></span>似于<span class="_ _2"></span>求平<span class="_ _2"></span>均</span></div><div class="t m0 x9 h3 y1e ff2 fs0 fc0 sc0 ls0 ws0">值),对于曲率比较高的曲线曲面边界时,效果不是很理想</div><div class="t m0 x7 h3 y1f ff1 fs0 fc0 sc0 ls0 ws0">3<span class="ff2">)</span>.<span class="ff2">等位算法(</span>equipotential smoothing<span class="ff2">)</span></div><div class="t m0 x7 h3 y20 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="_ _2"></span> <span class="_ _2"></span><span class="ff2">比<span class="_ _2"></span>较复<span class="_ _2"></span>杂的<span class="_ _2"></span>算法<span class="_ _2"></span>,是<span class="_ _2"></span>基于<span class="_ _2"></span>拉普<span class="_ _2"></span>拉斯<span class="_ _2"></span>算法<span class="_ _2"></span>的解<span class="_ _2"></span>之上<span class="_ _2"></span>的算<span class="_ _2"></span>法,<span class="_ _2"></span>对曲<span class="_ _2"></span>率较<span class="_ _2"></span>大的<span class="_ _2"></span>曲线<span class="_ _2"></span>曲面<span class="_ _2"></span>边</span></div><div class="t m0 x9 h3 y21 ff2 fs0 fc0 sc0 ls0 ws0">界<span class="_ _2"></span>效<span class="_ _2"></span>果<span class="_ _2"></span>较<span class="_ _2"></span>好<span class="_ _2"></span>,<span class="_ _2"></span>在<span class="_ _2"></span>节<span class="_ _2"></span>点<span class="_ _2"></span>被<span class="_ _2"></span>非<span class="_ _2"></span>结<span class="_ _2"></span>构<span class="_ _2"></span>化<span class="_ _2"></span>网<span class="_ _2"></span>格<span class="_ _2"></span>包<span class="_ _2"></span>围<span class="_ _2"></span>时<span class="_ _2"></span>,<span class="_ _2"></span>次<span class="_ _2"></span>算<span class="_ _2"></span>法<span class="_ _2"></span>为<span class="_ _2"></span>推<span class="_ _2"></span>荐<span class="_ _2"></span>算<span class="_ _2"></span>法<span class="_ _2"></span>,<span class="_ _2"></span>若<span class="_ _2"></span>节<span class="_ _2"></span>点<span class="_ _2"></span>被<span class="_ _2"></span>结<span class="_ _2"></span>构</div><div class="t m0 x9 h3 y22 ff2 fs0 fc0 sc0 ls0 ws0">化网格包围,其效果与体积算法类似。</div><div class="t m0 x3 h4 y23 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x7 h3 y24 ff2 fs0 fc0 sc0 ls0 ws0">三种算<span class="_ _2"></span>法可以<span class="_ _2"></span>结合适<span class="_ _2"></span>用,利<span class="_ _2"></span>用权重<span class="_ _2"></span>值来定<span class="_ _2"></span>义,需<span class="_ _2"></span>要记住<span class="_ _2"></span>的是,<span class="_ _2"></span>三种算法<span class="_ _2"></span>各占的<span class="_ _2"></span>权值加</div><div class="t m0 xa h3 y25 ff2 fs0 fc0 sc0 ls0 ws0">起来必须等于<span class="_ _0"> </span><span class="ff1">1</span>。</div><div class="t m0 x7 h3 y26 ff2 fs0 fc0 sc0 ls0 ws0">在<span class="_ _0"> </span><span class="ff1">ABAQUS CAE<span class="_ _0"> </span></span>中,在<span class="_ _0"> </span><span class="ff1">step<span class="_ _0"> </span></span>模块中定义</div><div class="t m0 x7 h3 y27 ff2 fs0 fc0 sc0 ls0 ws0">选项卡如下所示:</div></div></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div>
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