Prerequisites

GCC-6.5 Compilers and associates libraries
m4-1.4.18
mpfr-3.1.4
cmake-3.15.1
gmp-6.1.0
mpc-1.0.3

Intel Compilers and Prerequisites

source /usr/local/intel/2018u3/bin/compilervars.sh intel64
source /usr/local/intel/2018u3/impi/2018.3.222/bin64/mpivars.sh intel64
source /usr/local/intel/2018u3/mkl/bin/mklvars.sh intel64
source /usr/local/intel/2018u3/parallel_studio_xe_2018/bin/psxevars.sh intel64
MKLROOT=/usr/local/intel/2018u3/mkl

Create a setup file

touch gromacs_gpgpu.sh

Put the following into the gromacs_cpu.sh

CC=mpicc CXX=mpicxx cmake .. -DCMAKE_C_COMPILER=mpicc -DCMAKE_CXX_COMPILER=mpicxx -DGMX_MPI=on -DGMX_FFT_LIBRARY=mkl
-DCMAKE_INSTALL_PREFIX=/usr/local/gromacs-2019.3_intel18_mkl_cuda10.1 -DREGRESSIONTEST_DOWNLOAD=ON
-DCMAKE_C_FLAGS:STRING="-cc=icc -O3 -xHost -ip"
-DCMAKE_CXX_FLAGS:STRING="-cxx=icpc -O3 -xHost -ip -I/usr/local/intel/2018u3/compilers_and_libraries_2018.3.222/linux/mpi/intel64/include/" 
-DGMX_GPU=on 
-DCUDA_TOOLKIT_ROOT_DIR=/usr/local/cuda-10.1
-DCMAKE_BUILD_TYPE=Release
-DCUDA_HOST_COMPILER:FILEPATH=/usr/local/intel/2018u3/compilers_and_libraries_2018.3.222/linux/bin/intel64/icpc

./gromacs_gpgpu.sh

make

make install

Testing and Verification

$ source /your/installation/prefix/here/bin/GMXRC
./gmxtest.pl all -np 2