Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left">Type of SFD <br/>operators</td><td align="center">Value of <svg height="11.175" id="M257" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 17.475 11.175" width="17.475" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M998 650l-8 -28q-71 -4 -86 -16t-22 -69l-50 -397q-3 -28 -4.5 -44t2 -29t6.5 -18.5t17 -10.5t24.5 -6.5t37.5 -3.5l-8 -28h-271l7 28q63 6 78 22t25 90l60 415h-2l-353 -552h-23l-130 536h-2l-70 -254q-44 -158 -47 -188q-5 -38 9 -51t71 -18l-6 -28h-241l8 28
q45 4 67 18.5t35 45.5q16 38 74 233l52 173q24 79 11.5 98t-89.5 26l6 28h177l136 -508l337 508h172z" id="x1D440"></path></g>
</svg></td><td align="center">CPU time of 1000 recursion times (s)</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left">Fixed</td><td align="center">6</td><td align="center">688</td></tr><tr><td align="left">Variable</td><td align="center">6, 4, 4, 4, 4, 3</td><td align="center">572</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

CPU time of SFD modeling for the horizontally layered model.

Mathematical Problems in Engineering

tab3

Table 3

Table 3: Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media 