From f24023b9c2cff7eb48c6dec87009c32739d84f11 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 10:55:16 +0200 Subject: [PATCH 01/12] Added inlfo conditions fo hypersonic test case --- README.md | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index a6f43e6..5c3ca79 100644 --- a/README.md +++ b/README.md @@ -26,7 +26,12 @@ ToDo ![Heat Bath](./examples/heat_bath/heat_bath.png) ## 4.2 Hypersonic flow around cube -ToDo +Hypersonic flow around a cuboid. +The inpflow conditions are as follows + +| $T / K$ | $n / m^{-3}$ | $u_{x, z} / (m s^{-1})$ | $u_y / (m s^{-1})$ | +|:-------:|:------------:|:-----------------------:|:------------------:| +| 273.0 | 2.6e+19 | 0 | -3043.0 | ![hypersonic_flow](./examples/hypersonic_flow/hypersonic_flow.png) @@ -37,4 +42,4 @@ ToDo ## 4.3 Shock Tube ToDo -![shock Tube](./examples/shock_tube/shock_tube.png) \ No newline at end of file +![shock Tube](./examples/shock_tube/shock_tube.png) From fb5f48103388fdae50ed73cc170098d2e73ac8f0 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:02:47 +0200 Subject: [PATCH 02/12] Added gas properties --- README.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 5c3ca79..e1f0fd1 100644 --- a/README.md +++ b/README.md @@ -19,9 +19,15 @@ Implementation in done in python 3.10. ToDo # 4. Test Cases +All test cases were performed using Argon. +The gass properties are as follows: + +| gas | $\sigma_T / m^2$ | $m / kg$ | +|:---:|:----------------:|:----------:| +| Ar | 3.631681e-19 | 6.6422e-26 | ## 4.1 Heat Bath -ToDo +Simulation of temperature relaxation of Argon in closed domain. ![Heat Bath](./examples/heat_bath/heat_bath.png) From d08b6a3467657b4893a875c074da806c52cee9c5 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:16:32 +0200 Subject: [PATCH 03/12] Added data for Heat Bath --- README.md | 12 +++++++++++- 1 file changed, 11 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index e1f0fd1..5c1e81e 100644 --- a/README.md +++ b/README.md @@ -28,6 +28,16 @@ The gass properties are as follows: ## 4.1 Heat Bath Simulation of temperature relaxation of Argon in closed domain. +The simulation domain is cube with a side length of $2 \cdot 10^{-3} m$. +The simulation properties are as follows + + +| $\Delta t / s$ | $w$ | $T / K$ | $n / m^{-3}$ | $u / (m/s)$ | +|:----------:|:------:|:-----:|:-----:|:-----------:| +| 1e-5 | 0.5e-8 | 300 | 1e+20 | 1000.0 | + +where $\Delta t$ is the time step, $w$ is the particle weight, $T$ the temperature, $n$ the number density and $u$ the velocity in x direction. +The simulation results can be seen below. ![Heat Bath](./examples/heat_bath/heat_bath.png) @@ -35,7 +45,7 @@ Simulation of temperature relaxation of Argon in closed domain. Hypersonic flow around a cuboid. The inpflow conditions are as follows -| $T / K$ | $n / m^{-3}$ | $u_{x, z} / (m s^{-1})$ | $u_y / (m s^{-1})$ | +| $T / K$ | $n / m^{-3}$ | $v_{x, z} / (m s^{-1})$ | $v_y / (m s^{-1})$ | |:-------:|:------------:|:-----------------------:|:------------------:| | 273.0 | 2.6e+19 | 0 | -3043.0 | From f185941a2ad7b549287eeb4335ce898f77576fa5 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:21:01 +0200 Subject: [PATCH 04/12] Wrote installation --- README.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 5c1e81e..86ef30d 100644 --- a/README.md +++ b/README.md @@ -13,10 +13,14 @@ Implementation in done in python 3.10. # 2. Requirements - python 3.10. -- pip +- pip3 # 3. Installation -ToDo +The module can be installed using pip3 from the repository root as + +`` +pip3 install . +`` # 4. Test Cases All test cases were performed using Argon. From a366a8933942acd3e0a1195f9645059634226b36 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:23:16 +0200 Subject: [PATCH 05/12] Fixed typo --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 86ef30d..21c1fdd 100644 --- a/README.md +++ b/README.md @@ -47,7 +47,7 @@ The simulation results can be seen below. ## 4.2 Hypersonic flow around cube Hypersonic flow around a cuboid. -The inpflow conditions are as follows +The inflow conditions are as follows | $T / K$ | $n / m^{-3}$ | $v_{x, z} / (m s^{-1})$ | $v_y / (m s^{-1})$ | |:-------:|:------------:|:-----------------------:|:------------------:| From 0f5bd04c66380f5ca4673962de6af13a686ec5bb Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:28:21 +0200 Subject: [PATCH 06/12] Added ref --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 21c1fdd..15ecb8f 100644 --- a/README.md +++ b/README.md @@ -8,7 +8,7 @@ 4. Test Cases # 1. Introduction -DSMC implementation using an octree as a variable mesh. +DSMC implementation using an octree as a variable mesh based on https://doi.org/10.1016/j.jcp.2008.04.038. Implementation in done in python 3.10. # 2. Requirements From 5f160633463af59845df18676171ab4a04a9835e Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:40:32 +0200 Subject: [PATCH 07/12] Added text for shock tube. --- README.md | 47 +++++++++++++++++++++++++++++++++++++++++++---- 1 file changed, 43 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 15ecb8f..75189bd 100644 --- a/README.md +++ b/README.md @@ -36,9 +36,9 @@ The simulation domain is cube with a side length of $2 \cdot 10^{-3} m$. The simulation properties are as follows -| $\Delta t / s$ | $w$ | $T / K$ | $n / m^{-3}$ | $u / (m/s)$ | -|:----------:|:------:|:-----:|:-----:|:-----------:| -| 1e-5 | 0.5e-8 | 300 | 1e+20 | 1000.0 | +| $\Delta t / s$ | $w$ | $T / K$ | $n / m^{-3}$ | $u / (m/s)$ | +|:--------------:|:------:|:-------:|:------------:|:-----------:| +| 1e-5 | 0.5e-8 | 300 | 1e+20 | 1000.0 | where $\Delta t$ is the time step, $w$ is the particle weight, $T$ the temperature, $n$ the number density and $u$ the velocity in x direction. The simulation results can be seen below. @@ -61,5 +61,44 @@ The inflow conditions are as follows ## 4.3 Shock Tube -ToDo +This test case is Sod's shock tube problem. +Initial conditions for the left hand side $C_L$ and the right hand side $C_R$ are found below + +$$ +C_L = +\begin{pmatrix} +n_L \\ +u_L \\ +T_L \\ +\end{pmatrix} = +\begin{pmatrix} +2.41432e22 \\ +0 \\ +300 \\ +\end{pmatrix} +$$ + +$$ +C_R = +\begin{pmatrix} +n_R \\ +u_R \\ +p_L \\ +\end{pmatrix}= +\begin{pmatrix} +2.41432e21 \\ +0 \\ +300 \\ +\end{pmatrix} +$$ + +The simulation parameters + +| $\Delta t / s$ | $w$ | +|:--------------:|:----:| +| 1e-7 | 1e-8 | + +The simulation domain is a rectegular tube with a square cross section with the side length $2 \cdot 10^{-4} m$ and a length of $0.1 m$. +Results can be seen below. + ![shock Tube](./examples/shock_tube/shock_tube.png) From cc782a6f2ee5d9cb603cc10d0de418abe54e1341 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:41:24 +0200 Subject: [PATCH 08/12] fixed typo --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 75189bd..2a095af 100644 --- a/README.md +++ b/README.md @@ -98,7 +98,7 @@ The simulation parameters |:--------------:|:----:| | 1e-7 | 1e-8 | -The simulation domain is a rectegular tube with a square cross section with the side length $2 \cdot 10^{-4} m$ and a length of $0.1 m$. +The simulation domain is a rectangular tube with a square cross section with the side length $2 \cdot 10^{-4} m$ and a length of $0.1 m$. Results can be seen below. ![shock Tube](./examples/shock_tube/shock_tube.png) From f3c7df0bbbd88d8028ea8861c06c4e9f880f4aa8 Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:43:24 +0200 Subject: [PATCH 09/12] Added data for hypersonic flow --- README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 2a095af..b886a88 100644 --- a/README.md +++ b/README.md @@ -47,11 +47,11 @@ The simulation results can be seen below. ## 4.2 Hypersonic flow around cube Hypersonic flow around a cuboid. -The inflow conditions are as follows +The parameters are as follows -| $T / K$ | $n / m^{-3}$ | $v_{x, z} / (m s^{-1})$ | $v_y / (m s^{-1})$ | -|:-------:|:------------:|:-----------------------:|:------------------:| -| 273.0 | 2.6e+19 | 0 | -3043.0 | +| $\Delta t / s$ | $w$ | $T / K$ | $n / m^{-3}$ | $v_{x, z} / (m s^{-1})$ | $v_y / (m s^{-1})$ | +|:--------------:|:--------:|:-------:|:------------:|:-----------------------:|:------------------:| +| 1e-6 | 0.25e+15 | 273.0 | 2.6e+19 | 0 | -3043.0 | ![hypersonic_flow](./examples/hypersonic_flow/hypersonic_flow.png) From 7bc2d575dbefbd3c621e2f23f7e6ff9df0ae15ce Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:44:49 +0200 Subject: [PATCH 10/12] updated requirements --- README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/README.md b/README.md index b886a88..838f20d 100644 --- a/README.md +++ b/README.md @@ -14,6 +14,10 @@ Implementation in done in python 3.10. # 2. Requirements - python 3.10. - pip3 +- numpy +- llvmlite +- scipy +- numba # 3. Installation The module can be installed using pip3 from the repository root as From ec9387197ba9086aa4aaccae4872c99ab12b86ac Mon Sep 17 00:00:00 2001 From: Leo Basov <40352679+LeoBasov@users.noreply.github.com> Date: Tue, 18 Oct 2022 11:46:09 +0200 Subject: [PATCH 11/12] fixed typo --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 838f20d..7b66834 100644 --- a/README.md +++ b/README.md @@ -28,7 +28,7 @@ pip3 install . # 4. Test Cases All test cases were performed using Argon. -The gass properties are as follows: +The gas properties are as follows: | gas | $\sigma_T / m^2$ | $m / kg$ | |:---:|:----------------:|:----------:| From 9ae25815475cc11071a58f5a25b8602b3802cda5 Mon Sep 17 00:00:00 2001 From: Leo Basov Date: Tue, 18 Oct 2022 11:49:41 +0200 Subject: [PATCH 12/12] updated heat bath test case --- examples/heat_bath/heat_bath.png | Bin 54319 -> 54535 bytes examples/heat_bath/heat_bath.py | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/heat_bath/heat_bath.png b/examples/heat_bath/heat_bath.png index 8aa05518eaa86671cdc39eda3a3462e697211514..912fdcbd884587d6c72c1d8d65520f4268944214 100644 GIT binary patch literal 54535 zcmeFZcU+Wdw=D>5tF4F_KqYD`NCuURB&7k1oO2Y(2$BSfXaW<#lALoYq9j3*A|R4u zkx|K6BL?Kr5h>=@ zU&=&8hs218e$)Kp5WFH-%W@OG2{=kd__K4OLa?6Tr z(pj)w)M;5dmtqm|8{EqNSMEvQF5DTvJ;+zFwa1A&Ktx=-K@{je9B^ zE24)hFljiGWl%ZvjhkUO&$y2J{%nsBpBA0#=*gOz8fFd-`Gv~83hiQ>tUtwlCKv0@ 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