Add test for MR with 2 levels (BLAST-WarpX#3979)

Now that BLAST-WarpX#3777 is merged, it should be possible to do simulations with 2
levels of refinement.

- [x] update notes in
https://warpx.readthedocs.io/en/latest/usage/parameters.html on max MR
level limit (now relaxed)

---------

Co-authored-by: Axel Huebl <[email protected]>

Author: RemiLehe

Docs/source/usage/parameters.rst

@@ -377,7 +377,6 @@ Setting up the field mesh
     When using mesh refinement, the number of refinement levels that will be used.
 
     Use 0 in order to disable mesh refinement.
-    Note: currently, ``0`` and ``1`` are supported.
 
 * ``amr.ref_ratio`` (`integer` per refined level, default: ``2``)
     When using mesh refinement, this is the refinement ratio per level.

Examples/Tests/langmuir/CMakeLists.txt

@@ -31,6 +31,16 @@ add_warpx_test(
     OFF  # dependency
 )
 
+add_warpx_test(
+    test_2d_langmuir_multi_mr_maxlevel2  # name
+    2  # dims
+    2  # nprocs
+    inputs_test_2d_langmuir_multi_mr_maxlevel2  # inputs
+    "analysis_2d.py diags/diag1000080"  # analysis
+    "analysis_default_regression.py --path diags/diag1000080"  # checksum
+    OFF  # dependency
+)
+
 add_warpx_test(
     test_2d_langmuir_multi_mr_anisotropic  # name
     2  # dims

Examples/Tests/langmuir/analysis_2d.py

@@ -136,7 +136,7 @@ def get_theoretical_field(field, t):
     # lower fidelity, due to smoothing
     tolerance_rel = 0.07
 else:
-    tolerance_rel = 0.05
+    tolerance_rel = 0.0503
 
 print("error_rel    : " + str(error_rel))
 print("tolerance_rel: " + str(tolerance_rel))

Examples/Tests/langmuir/inputs_test_2d_langmuir_multi_mr_maxlevel2

@@ -0,0 +1,16 @@
+# base input parameters
+FILE = inputs_base_2d
+
+# mesh-refinement
+amr.max_level = 2
+amr.ref_ratio = 2
+warpx.fine_tag_lo = -10.e-6 -10.e-6
+warpx.fine_tag_hi =  10.e-6  10.e-6
+
+# Algorithms
+algo.maxwell_solver = ckc
+warpx.use_filter = 1
+
+# test input parameters
+diag1.electrons.variables = x z w ux uy uz
+diag1.positrons.variables = x z w ux uy uz

Regression/Checksum/benchmarks_json/test_2d_langmuir_multi_mr_maxlevel2.json

@@ -0,0 +1,51 @@
+{
+  "electrons": {
+    "particle_momentum_x": 4.242620333758381e-20,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 4.242620333758383e-20,
+    "particle_position_x": 0.65535987321779,
+    "particle_position_y": 0.65535987321779,
+    "particle_weight": 3200000000000000.5
+  },
+  "lev=0": {
+    "Bx": 0.0,
+    "By": 16.071794601050236,
+    "Bz": 0.0,
+    "Ex": 7570488383482.163,
+    "Ey": 0.0,
+    "Ez": 7570488383482.172,
+    "jx": 7300340951816532.0,
+    "jy": 0.0,
+    "jz": 7300340951816499.0
+  },
+  "lev=1": {
+    "Bx": 0.0,
+    "By": 198.50223398811193,
+    "Bz": 0.0,
+    "Ex": 7525715467927.051,
+    "Ey": 0.0,
+    "Ez": 7525715467927.059,
+    "jx": 7041509234077510.0,
+    "jy": 0.0,
+    "jz": 7041509234077478.0
+  },
+  "lev=2": {
+    "Bx": 0.0,
+    "By": 228.21979679985373,
+    "Bz": 0.0,
+    "Ex": 7519775790551.918,
+    "Ey": 0.0,
+    "Ez": 7519775790551.941,
+    "jx": 7066046015592192.0,
+    "jy": 0.0,
+    "jz": 7066046015592108.0
+  },
+  "positrons": {
+    "particle_momentum_x": 4.242428396970614e-20,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 4.242428396970615e-20,
+    "particle_position_x": 0.6553596611428341,
+    "particle_position_y": 0.6553596611428342,
+    "particle_weight": 3200000000000000.5
+  }
+}