<div dir="ltr"><div class="markdown-here-wrapper" style="font-family:"Courier New""><p style="margin:1.2em 0px!important">Hello everyone,</p>
<p style="margin:1.2em 0px!important">I work with Gmsh 3.0.2</p>
<p style="margin:1.2em 0px!important">I have a cylinder inside a cube.<br>I want to refine the boundary of the cylinder.</p>
<p style="margin:1.2em 0px!important">To do so, I use a combination of MathEval fields.<br>If I declare the cylinder as a volume, it is meshed with very small elements.<br>If I do not declare the cylinder as a volume, only the region near the interface is correctly meshed.</p>
<p style="margin:1.2em 0px!important">How can I have both :</p>
<ul style="margin:1.2em 0px;padding-left:2em">
<li style="margin:0.2em 0px">the cylinder as a volume</li>
<li style="margin:0.2em 0px">the reffinement near the interface ?</li>
</ul>
<p style="margin:1.2em 0px!important">With the cylinder as a volume</p>
<pre style="font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;font-size:1em;line-height:1.2em;margin:1.2em 0px"><code style="font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;margin:0px 0.15em;padding:0px 0.15em;white-space:pre-wrap;border:1px solid rgb(234,234,234);background-color:rgb(248,248,248);border-radius:3px;display:inline;white-space:pre;overflow:auto;border-radius:3px;border:1px solid rgb(204,204,204);padding:0.5em 0.7em;display:block!important">h=0.1;
x=1;
y=1;
z=1;
ratio = 3.;
radius=Sqrt(2.*(x/ratio)^2);
distance=h;
p0 = newp; Point(p0) = {0,0,0,50*h};
pc = newp; Point(pc) = {0,0,-z,h};
p1 = newp; Point(p1) = {-x,-y,-z,h};
p2 = newp; Point(p2) = {-x, y,-z,h};
p3 = newp; Point(p3) = { x, y,-z,h};
p4 = newp; Point(p4) = { x,-y,-z,h};

r1 = newp; Point(r1) = {      0,  radius, -z, h};
r2 = newp; Point(r2) = { radius,       0, -z, h};
r3 = newp; Point(r3) = {      0, -radius, -z, h};
r4 = newp; Point(r4) = {-radius,       0, -z, h};

l1 = newl; Line(l1) = {p1,p2};
l2 = newl; Line(l2) = {p2,p3};
l3 = newl; Line(l3) = {p3,p4};
l4 = newl; Line(l4) = {p4,p1};

c1 = newl; Circle(c1) = {r1,pc,r2};
c2 = newl; Circle(c2) = {r2,pc,r3};
c3 = newl; Circle(c3) = {r3,pc,r4};
c4 = newl; Circle(c4) = {r4,pc,r1};

outer = newll; Line Loop(outer) = {l1,l2,l3,l4};
inner = newll; Line Loop(inner) = {c1,c2,c3,c4};
s1 = news; Plane Surface(s1) = {outer,-inner};
s2 = news; Plane Surface(s2) = {inner};

extruded[] = Extrude{0,0,2.*z} { 
Surface{s1,s2};
};

Physical Point("center") = {p0};

Physical Volume("Omega1") = {extruded[1]};
Physical Volume("Omega2") = {extruded[11]};

Field[1] = MathEval;
Field[1].F = Sprintf("(Fabs(%g-Sqrt(x*x+y*y)))+%g/5",radius,h);
Field[2] = MathEval;
Field[2].F = "0.1";
Field[3] = Min;
Field[3].FieldsList = {1,2};
Background Field = 3;
</code></pre><p style="margin:1.2em 0px!important">With the reffinement I target</p>
<pre style="font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;font-size:1em;line-height:1.2em;margin:1.2em 0px"><code style="font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;margin:0px 0.15em;padding:0px 0.15em;white-space:pre-wrap;border:1px solid rgb(234,234,234);background-color:rgb(248,248,248);border-radius:3px;display:inline;white-space:pre;overflow:auto;border-radius:3px;border:1px solid rgb(204,204,204);padding:0.5em 0.7em;display:block!important">h=0.1;
x=1;
y=1;
z=1;
ratio = 3.;
radius=Sqrt(2.*(x/ratio)^2);
distance=h;
p0 = newp; Point(p0) = {0,0,0,50*h};
pc = newp; Point(pc) = {0,0,-z,h};
p1 = newp; Point(p1) = {-x,-y,-z,h};
p2 = newp; Point(p2) = {-x, y,-z,h};
p3 = newp; Point(p3) = { x, y,-z,h};
p4 = newp; Point(p4) = { x,-y,-z,h};

r1 = newp; Point(r1) = {      0,  radius, -z, h};
r2 = newp; Point(r2) = { radius,       0, -z, h};
r3 = newp; Point(r3) = {      0, -radius, -z, h};
r4 = newp; Point(r4) = {-radius,       0, -z, h};

l1 = newl; Line(l1) = {p1,p2};
l2 = newl; Line(l2) = {p2,p3};
l3 = newl; Line(l3) = {p3,p4};
l4 = newl; Line(l4) = {p4,p1};

c1 = newl; Circle(c1) = {r1,pc,r2};
c2 = newl; Circle(c2) = {r2,pc,r3};
c3 = newl; Circle(c3) = {r3,pc,r4};
c4 = newl; Circle(c4) = {r4,pc,r1};

outer = newll; Line Loop(outer) = {l1,l2,l3,l4};
inner = newll; Line Loop(inner) = {c1,c2,c3,c4};
s1 = news; Plane Surface(s1) = {outer};
//s2 = news; Plane Surface(s2) = {inner};

extruded[] = Extrude{0,0,2.*z} { 
Surface{s1};
};

Physical Point("center") = {p0};

Physical Volume("Omega1") = {extruded[1]};
//Physical Volume("Omega2") = {extruded[11]};

Field[1] = MathEval;
Field[1].F = Sprintf("(Fabs(%g-Sqrt(x*x+y*y)))+%g/5",radius,h);
Field[2] = MathEval;
Field[2].F = "0.1";
Field[3] = Min;
Field[3].FieldsList = {1,2};
Background Field = 3;
</code></pre><p style="margin:1.2em 0px!important">All the best,</p>
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