From ef7566fb95c11afb18df954f8f446b264f49328c Mon Sep 17 00:00:00 2001 From: Wenqing Wang <wenqing.wang@ufz.de> Date: Wed, 14 Apr 2021 17:09:49 +0200 Subject: [PATCH] [Web] Added a description of "A test with nodal source term" --- .../hydro-mechanics/nodal_source_test.md | 82 ++++++++++++++++++ .../hydro-mechanics/nodal_source_test.png | Bin 0 -> 52099 bytes 2 files changed, 82 insertions(+) create mode 100644 web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.md create mode 100644 web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.png diff --git a/web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.md b/web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.md new file mode 100644 index 00000000000..36c561cda78 --- /dev/null +++ b/web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.md @@ -0,0 +1,82 @@ ++++ +title = "A test with nodal source term" +date = 2021-04-14T15:31:38+02:00 +weight = 151 +project = "HydroMechanics/HydroMechanics/NodalSourceTerm/nodal_source_test.prj" +author = "Wenqing Wang" + +[menu] + [menu.benchmarks] + parent = "hydro-mechanics" + ++++ + +{{< data-link >}} + +--- + +The purpose of this benchmark is to test the source term type of NodalSourceTerm + being applied to the hydraulic equation in the computations with the + Taylor-Hood elements, + e.g., the pressure interpolation using linear shape function, + and the displacement interpolation using quadratic shape function. + +The problem is solved on a rectangular domain 2 m $\times$ 1 m. +Nodal fluid flux is applied on the left boundary nodes with a value of + 0.001 kg/s via the property of NodalSourceTerm. + The pore pressure on the right boundary is equal to the initial pore pressure + of $10^5$ Pa. + The displacement in the normal direction of all boundaries except +the left one is fixed. + +Fluid and solid are incompressible. + +All involved parameters are listed in the following tables: +<table> +<caption>Material Properties</caption> +<thead> +<tr class="header"> +<th align="left">Property</th> +<th align="left">Value</th> +<th align="left">Unit</th> +</tr> +</thead> +<tbody> +<tr class="odd"> +<td align="left">Fluid density</td> +<td align="left">$10^3$</td> +<td align="left">kg/m$^3$</td> +</tr> +<tr class="odd"> +<td align="left">Viscosity</td> +<td align="left">$10^{-3}$</td> +<td align="left">Pa$\cdot$s</td> +</tr> +<tr class="odd"> +<td align="left">Permeability</td> +<td align="left">$10^{-14}$</td> +<td align="left">m$^2$</td> +</tr> +<tr class="even"> +<td align="left">Young’s modulus (bulk)</td> +<td align="left">$2.5\cdot 10^9$</td> +<td align="left">Pa</td> +</tr> +<tr class="odd"> +<td align="left">Poisson ratio (bulk)</td> +<td align="left">$0.27$</td> +<td align="left">-</td> +</tr> +<tr class="even"> +<td align="left">Biot coefficient</td> +<td align="left">$0.9$</td> +<td align="left">-</td> +</tr> +</tbody> +</table> + +The time period of 86400 is discretised into 100 steps. + +The distributions of pressure and displacement at the end time are shown in the + following figure: +{{< img src="../nodal_source_test.png" >}} \ No newline at end of file diff --git a/web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.png b/web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.png new file mode 100644 index 0000000000000000000000000000000000000000..653b202a5bd680fcc4bc41004cae99d78620c784 GIT binary patch literal 52099 zcmdSA1yEd1*Z(;r1PK}-xCaaFF2OYrB)CIxcNi?eEm&}e5JGSnd?4817GQ7)Iw8m; zXz>3fzvq45r=H#aZq?S-R&C8t!|i)-ch7Y9Ip=;qr(<5JE8;vRe+&YFaFmtgv_K%# zJrD>5hVcL>`ErtJ41A#4O23o_f$9>mt}Pw`$Fx>TS}#GM045M9G#muF1d2j`fI!~d zAka^95J)r=1R`<EZPOG7PM}$;D$0TG?q7w_vQ(f1(@n|16ZizK1et+8L+p-$f6%>@ zU&^CzqvD}Iqj~b`k{Bq$x3W<80f8O?Ek6MMK!U)Z9Z9z3BG4L0Sx#EVZ*l*|D4xL} z8xeKW<vDsyOnp9R^x8&uwH>TK`v`vtf5z~|x41ttp#(ITc4nxS<yem}_?AdJ8w>r5 zCh6%=W-u1fCG8&la)%_zJ!ZrB?!W_;eT!uYZnOQ=UjGGn9qDGdyC=r2?dNLX4U8@? 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